<SEC-DOCUMENT>0001262976-21-000043.txt : 20210816
<SEC-HEADER>0001262976-21-000043.hdr.sgml : 20210816
<ACCEPTANCE-DATETIME>20210816161114
ACCESSION NUMBER:		0001262976-21-000043
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20210815
FILED AS OF DATE:		20210816
DATE AS OF CHANGE:		20210816

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Wensveen Maarten
		CENTRAL INDEX KEY:			0001766117

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-39148
		FILM NUMBER:		211178244

	MAIL ADDRESS:	
		STREET 1:		CIMPRESS
		STREET 2:		275 WYMAN STREET
		CITY:			WALTHAM
		STATE:			MA
		ZIP:			02451

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			CIMPRESS plc
		CENTRAL INDEX KEY:			0001262976
		STANDARD INDUSTRIAL CLASSIFICATION:	COMMERCIAL PRINTING [2750]
		IRS NUMBER:				980417483
		STATE OF INCORPORATION:			P7
		FISCAL YEAR END:			0630

	BUSINESS ADDRESS:	
		STREET 1:		BUILDING D, XEROX TECHNOLOGY PARK
		CITY:			DUNDALK, COUNTY LOUTH
		STATE:			L2
		ZIP:			A91 H9N9
		BUSINESS PHONE:		781-652-6300

	MAIL ADDRESS:	
		STREET 1:		C/O CIMPRESS USA INCORPORATED
		STREET 2:		275 WYMAN STREET
		CITY:			WALTHAM
		STATE:			MA
		ZIP:			02451

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	CIMPRESS N.V.
		DATE OF NAME CHANGE:	20141114

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	VISTAPRINT N.V.
		DATE OF NAME CHANGE:	20090828

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	VISTAPRINT LTD
		DATE OF NAME CHANGE:	20030908
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wf-form4_162914464974016.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-08-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001262976</issuerCik>
        <issuerName>CIMPRESS plc</issuerName>
        <issuerTradingSymbol>CMPR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001766117</rptOwnerCik>
            <rptOwnerName>Wensveen Maarten</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>CIMPRESS PLC</rptOwnerStreet1>
            <rptOwnerStreet2>BUILDING D, XEROX TECHNOLOGY PARK</rptOwnerStreet2>
            <rptOwnerCity>DUNDALK, COUNTY LOUTH, IRELAND</rptOwnerCity>
            <rptOwnerState></rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP &amp; Chief Technology Officer</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Performance Share Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>100.46</value>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2021-08-15</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>16175</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2029-08-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>16175.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>16175</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Share Units (right to acquire)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.0</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2021-08-15</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>9349</value>
                    <footnoteId id="F3"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2022-08-15</value>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2025-08-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>9349.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>9349</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">This dollar amount is the three-year moving average (3YMA) on the date of grant, which is the baseline against which the compound annual growth rate (CAGR) of the 3YMA will be measured.</footnote>
        <footnote id="F2">Each of these performance share units (PSU) represents a right to receive between 0 and 2.5 Cimpress ordinary shares upon the satisfaction of both (A) service-based vesting and (B) performance conditions relating to the CAGR of the 3YMA. The service-based vesting condition is that 25% of the original number of PSUs vest on each June 30 of 2022 through 2025 so long as the reporting person continues to be an eligible participant under Cimpress' 2020 Equity Incentive Plan on such vesting date. If the 3YMA CAGR equals or exceeds (i) 9% on any of the fourth through seventh anniversaries of the grant date or (ii) 7% on the eighth anniversary of the grant date, then the reporting person is entitled to receive a distribution of up to 2.5 Cimpress ordinary shares for each vested PSU on a sliding scale based on the actual CAGR performance.</footnote>
        <footnote id="F3">Each restricted stock unit (RSU) represents Cimpress' commitment to issue one ordinary share.</footnote>
        <footnote id="F4">These RSUs vest over a four year period: 25% of the original number of shares vest on the Date Exercisable in Table II and 25% vest per year thereafter.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Kathryn L. Leach, as attorney-in-fact for Maarten Wensveen</signatureName>
        <signatureDate>2021-08-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
