Reject container of rice pudding this person put away (9)
I believe the answer is:
repudiate
'reject' is the definition.
(I know that repudiate is a more specific form of the action reject)
'container of rice pudding this person put away' is the wordplay.
'container of' suggests removing the centre.
'pudding' becomes 'pud' (synonyms).
'this person' becomes 'I' (the person writing).
'put away' becomes 'ate' (put away can mean to eat).
'rice' with its middle taken out is 're'.
're'+'pud'+'i'+'ate'='REPUDIATE'
(Other definitions for repudiate that I've seen before include "Refuse to accept" , "Reject as untrue or unjust" , "Give denial" , "Make a disclaimer" , "Refuse to be associated with" .)