Cut that woman with slide (7)
I believe the answer is:
slither
'slide' is the definition.
(I know that slide can be written as slither)
'cut that woman' is the wordplay.
'cut' becomes 'slit' (slitting is a kind of cutting).
'that woman' becomes 'her' (her refers to a woman).
'slit'+'her'='SLITHER'
'with' acts as a link.
(Other definitions for slither that I've seen before include "Undulate" , "Slide, slip" , "Slide (like a snake)" , "Quietly advance" , "Slide on slippery surface" .)