Lady to pick up advert for skirt (5)
I believe the answer is:
evade
'for skirt' is the definition.
(synonyms)
'lady to pick up advert' is the wordplay.
'lady' becomes 'eve' (woman's name).
'to pick up' indicates putting letters inside.
'advert' becomes 'ad' (synonyms).
'eve' placed around 'ad' is 'EVADE'.
(Other definitions for evade that I've seen before include "Dodge by cleverness (5)" , "Circumvent, dodge" , "Dodge or equivocate" , "Avoid, get out of" , "Illegally escape (taxes)" .)