Censored musicians on the radio (6)
I believe the answer is:
banned
'censored' is the definition.
('ban' can be a synonym of 'censor')
'musicians on the radio' is the wordplay.
'musicians' becomes 'band' (group of musicians).
'on the radio' indicates a 'sounds like' (homophone) clue.
'band' is a homophone of 'BANNED'.
(Other definitions for banned that I've seen before include "Prohibited officially" , "Barred" , "Legally prohibited" , "Prohibited by censor" , "expelled" .)