Declares in favour of applications (9)
I believe the answer is:
proclaims
'declares' is the definition.
(proclaiming is a kind of declaring)
'in favour of applications' is the wordplay.
'in favour of' becomes 'pro' (I've seen this before).
'applications' becomes 'claims'.
'pro'+'claims'='PROCLAIMS'
(Other definitions for proclaims that I've seen before include "Announces officially" , "Advertises" .)