A clever rhyme for “cut” (5)

I believe the answer is:

sever

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'for cut' is the definition.
(severing is a kind of cutting)

I can't explain the rest of the clue.

(Other definitions for sever that I've seen before include "Lop off" , "Cut right off" , "Detach" , "Divide by cutting" , "Cut from a whole" .)

I've seen this clue in the Evening Standard.

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