Famous rebel acted badly (10)
I believe the answer is:
celebrated
'famous' is the definition.
(I know that famous can be written as celebrated)
'rebel acted badly' is the wordplay.
'badly' indicates anagramming the letters.
'rebel'+'acted'='rebelacted'
'rebelacted' with letters rearranged gives 'CELEBRATED'.
(Other definitions for celebrated that I've seen before include "Publicly honoured" , "Rejoiced - famous" , "Observed (festival); famous" , "Eminent" , "Did something enjoyable (to mark an event)" .)