Duck bill pierces woman in garden (5)
I believe the answer is:
evade
'duck' is the definition.
(I know that duck can be written as evade)
'bill pierces woman in garden' is the wordplay.
'bill' becomes 'ad' (advertisement stuck on wall).
'pierces' is an insertion indicator (some letters pierce a hole in others).
'woman in garden' becomes 'Eve' (in the Garden of Eden).
'ad' going within 'eve' is 'EVADE'.
(Other definitions for evade that I've seen before include "Sidestep" , "bypass" , "Illegally escape (taxes)" , "To get away from" , "Dodge, keep clear of" .)