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PREMISES AND EQUIPMENT - Additional Information (Details) - USD ($) $ in Millions	12 Months Ended
	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2019
PREMISES AND EQUIPMENT
Depreciation and amortization expense	$ 1.4	$ 1.3	$ 1.1

X

- Definition

Represents the depreciation expense for Premises and Equipment during the indicated period.

+ References

No definition available.

+ Details

Name:	rvsb_PremisesAndEquipmentDepreciationExpense
Namespace Prefix:	rvsb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	us-gaap_PropertyPlantAndEquipmentAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration