Fought to be heard in support of a grant (5)
I believe the answer is:
award
'grant' is the definition.
(I know that grant can be written as award)
'fought to be heard in support of a' is the wordplay.
'fought' becomes 'warred' (fought a war).
'to be heard' shows a homophone (sound like).
'in support of' is a charade indicator (letters next to each other) (in a down clue, some letters hold others up).
'warred' is a homophone of 'ward'.
'ward' put after 'a' is 'AWARD'.
(Other definitions for award that I've seen before include "medal, perhaps" , "certificate?" , "Tony is one" , "Grant, confer" , "Allotment" .)