Crossword Genius

Split monthly expense, perhaps (4)

Ross

I believe the answer is:

rent

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'split' is the definition.
(past tense of 'rend' meaning to split)

I cannot understand how the remainder of the clue works.

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(Other definitions for rent that I've seen before include "Let out - torn" , "slashed" , "Tear; lease" , "Tenant's fee" , "Payment - in pieces" .)

I've seen this clue in The Times.
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