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EMPLOYEE BENEFIT PLANS - Employee stock ownership plan (Details) | 12 Months Ended
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Mar. 31, 2020 USD ($) item shares | Mar. 31, 2019 USD ($) shares | Mar. 31, 2018 USD ($) shares
Employee stock ownership plan [Abstract] |  |  |
Number of hours of service | item | 1,000 |  |
Employee Stock Ownership Plan compensation expense | $ | $ 195,000 | $ 197,000 | $ 148,000
Shares released and allocated to participants | 410,045 | 441,966 | 962,584
Bank purchased common stock on open market and contributed such shares to ESOP | 43,545 | 25,000 |
Unreleased ESOP shares to participants | 19,000 |  |

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- References No definition available. + Details
Name: | rvsb_EmployeeStockOwnershipPlanAbstract
Namespace Prefix: | rvsb_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Represents number hours of services. + References No definition available. + Details
Name: | rvsb_NumberOfHoursOfService
Namespace Prefix: | rvsb_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

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- Definition Represents number of share related to esop. + References No definition available. + Details
Name: | rvsb_NumberOfPurchasesShareFromOpenMarketToEsop
Namespace Prefix: | rvsb_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition The amount of plan compensation cost recognized during the period. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 40 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=109244661&loc=d3e17540-113929 + Details
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- Definition The shares that, although not legally released, will be released by a future scheduled and committed debt service payment and will be allocated to employees for service rendered in the current accounting period. The ESOP documents typically define the period of service to which the shares relate. ESOP shares are released to compensate employees directly, to settle employer liabilities for other employee benefits, and to replace dividends on allocated shares that are used for debt service. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 40 -Section 50 -Paragraph 1 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=109244661&loc=d3e17540-113929 + Details
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Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition Sum of the allocated, committed-to-be-released and suspense shares of the entity held by the plan. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 40 -Section 50 -Paragraph 1 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=109244661&loc=d3e17540-113929 + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | na
Period Type: | instant