Cut a girl and slip away (7)

I believe the answer is:

slither

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'slip away' is the definition.
'slither' can be an answer for 'slip' (I've seen this before). I am not sure about the 'away' bit.

'cut a girl' is the wordplay.
'cut' becomes 'slit' (slitting is a kind of cutting).
'a girl' becomes 'her' ('her' refers to a girl or woman).
'slit'+'her'='SLITHER'

'and' acts as a link.

Can you help me to learn more?

(Other definitions for slither that I've seen before include "Quietly advance" , "Undulate" , "Slide unsteadily" , "Slide on slippery surface" , "Move like a snake" .)

I've seen this clue in The Globe and Mail.

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