Publicity in favour of movement (9)
I believe the answer is:
promotion
'publicity' is the definition.
('promotion' can be a synonym of 'publicity')
'in favour of movement' is the wordplay.
'in favour of' becomes 'pro' (I've seen this before).
'movement' becomes 'motion' ('motion' can be a synonym of 'movement'**).
'pro'+'motion'='PROMOTION'
(Other definitions for promotion that I've seen before include "movement?" , "Publicity campaign" , "Step up" , "sales campaign" , "that should result in more money" .)