More than one accolade attempts to stifle objection (8)
I believe the answer is:
tributes
'more than one accolade' is the definition.
(I've seen this before)
'attempts to stifle objection' is the wordplay.
'attempts' becomes 'tries' ('try' can be a synonym of 'attempt').
'to stifle' indicates putting letters inside.
'objection' becomes 'but'.
'tries' enclosing 'but' is 'TRIBUTES'.
(Other definitions for tributes that I've seen before include "Compliments paid by bitter us" , "Accolades" , "Credits" , "payments of state dependency" , "Speeches in praise or thanks" .)