A minor prize (5)
I believe the answer is:
award
'prize' is the definition.
(I know that prize 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 "medal, perhaps" , "Judicial decision" , "Tony, say" , "Bestow" , "Allotment" .)