A minor grant (5)
I believe the answer is:
award
'grant' is the definition.
(I know that grant can be written as award)
'a minor' is the wordplay.
'minor' becomes 'ward' (I've seen this in other clues).
'a'+'ward'='AWARD'
(Other definitions for award that I've seen before include "Tony, for example" , "Oscar, say" , "Tony is one" , "Official prize in a draw" , "Gong (informal)" .)