Advertising for the movement (9)
I believe the answer is:
promotion
'advertising' is the definition.
(thesaurus)
'for the movement' is the wordplay.
'for' becomes 'pro' (as in being 'pro' or in favour of something).
'the movement' becomes 'motion' ('motion' can be a synonym of 'movement').
'pro'+'motion'='PROMOTION'
(Other definitions for promotion that I've seen before include "upgrading" , "Advertising campaign" , "Puffing, perhaps" , "Advancement" , "movement?" .)