Cutting, give to surreptitiously (4)

I believe the answer is:

slip

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'cutting' is the definition.
(I know that cutting can be written as slip)

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for slip that I've seen before include "Lose footing as on banana skin" , "Underwear" , "Item of clothing; lose footing" , "failure" , "Minor mistake - undergarment" .)

I've seen this clue in the Evening Standard.

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