Rejects a fair amount of the meat on the little piggies (6)
I believe the answer is:
vetoes
'rejects a fair' is the definition.
I can't tell whether this definition defines the answer.
'amount of the meat on the little piggies' is the wordplay.
'amount of the meat' becomes 've' (I am not sure about this - if you are sure you should believe this answer much more).
'on' is a charade indicator (letters next to each other).
'the little piggies' becomes 'toes' ('this little piggy' nursery rhyme).
've'+'toes'='VETOES'
Can you help me to learn more?
(Other definitions for vetoes that I've seen before include "Refuses to allow" , "Casts over-riding negative vote" , "E votes to block decisions" , "Votes to block a decision" .)