Lobby for each woman to hold poster (8)
I believe the answer is:
persuade
'lobby' is the definition.
(thesaurus)
'each woman to hold poster' is the wordplay.
'each' becomes 'per'.
'woman' becomes 'sue' (**).
'to hold' is an insertion indicator.
'poster' becomes 'ad'.
'sue' going around 'ad' is 'suade'.
'per'+'suade'='PERSUADE'
'for' acts as a link.
(Other definitions for persuade that I've seen before include "Talk round" , "Convince or induce, maybe coax" , "influence" , "Coax, prevail upon" , "Convince by reasoning" .)