A minor honour (5)
I believe the answer is:
award
'honour' is the definition.
(I know that honour 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 "Adjudge" , "Trophy or medal, for example" , "Perhaps Tony" , "certificate?" , "settlement" .)