Declares publicly in favour of demands (9)
I believe the answer is:
proclaims
'declares publicly' is the definition.
'proclaims' can be an answer for 'declares' (proclaiming is a kind of declaring). I am not sure about the 'publicly' bit.
'in favour of demands' is the wordplay.
'in favour of' becomes 'pro' (being pro a particular cause).
'demands' becomes 'claims' (claiming is a kind of demanding).
'pro'+'claims'='PROCLAIMS'
Can you help me to learn more?
(Other definitions for proclaims that I've seen before include "Announces officially" , "Advertises" .)