Young woman cuts and runs (7)
I believe the answer is:
gallops
'runs' is the definition.
(I've seen this before)
'young woman cuts' is the wordplay.
'young woman' becomes 'gal' (synonyms).
'cuts' becomes 'lops' (lopping is a kind of cutting).
'gal'+'lops'='GALLOPS'
'and' acts as a link.
(Other definitions for gallops that I've seen before include "Moves quickly" , "Runs fast, as a horse say" , "equestrian activities" , "Rides fast" .)