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FAIR VALUE MEASUREMENTS - Level 3 inputs for financial instruments measured at fair value (Details) - USD ($) $ in Thousands | 3 Months Ended | 12 Months Ended
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Jun. 30, 2021 | Mar. 31, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Debt Securities, Available-for-sale, Valuation Technique [Extensible List] | us-gaap:ValuationTechniqueDiscountedCashFlowMember |
Debt Securities, Available-for-sale, Measurement Input [Extensible List] | us-gaap:MeasurementInputDiscountRateMember |
Adjustments to the appraised values of impaired loans | $ 0 | $ 0
Minimum |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Impaired loans | 5.375% | 5.375%
Maximum |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Impaired loans | 8.00% | 8.00%

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- Definition The amount of adjustments to the appraised values of impaired loans. + References No definition available. + Details
Name: | rvsb_ImpairedLoansAppraisedValueAdjustments
Namespace Prefix: | rvsb_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Value of input used to measure servicing asset. + References No definition available. + Details
Name: | rvsb_ImpairedLoansMeasurementInput
Namespace Prefix: | rvsb_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition Indicates measurement input for investment in debt security measured at fair value with change in fair value recognized in other comprehensive income (available-for-sale). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 820 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (bbb)(1) -URI http://asc.fasb.org/extlink&oid=117815213&loc=d3e19207-110258 + Details
Name: | us-gaap_DebtSecuritiesAvailableForSaleMeasurementInputExtensibleList
Namespace Prefix: | us-gaap_
Data Type: | srt-types:extensibleListItemType
Balance Type: | na
Period Type: | instant

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- Definition Indicates valuation technique for measuring investment in debt security at fair value with change in fair value recognized in other comprehensive income (available-for-sale). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 820 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (bbb)(1) -URI http://asc.fasb.org/extlink&oid=117815213&loc=d3e19207-110258 + Details
Name: | us-gaap_DebtSecuritiesAvailableForSaleValuationTechniqueExtensibleList
Namespace Prefix: | us-gaap_
Data Type: | srt-types:extensibleListItemType
Balance Type: | na
Period Type: | instant

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | srt_RangeAxis=srt_MinimumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_RangeAxis=srt_MaximumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |