Band rocked on the radio (5)
I believe the answer is:
suede
'band' is the definition.
(British band)
'rocked on the radio' is the wordplay.
'rocked' becomes 'swayed' ('sway' can be a synonym of 'rock').
'on the radio' shows a homophone (sound like).
'swayed' is a homophone of 'SUEDE'.
(Other definitions for suede that I've seen before include "Leather with flesh side rubbed to velvety nap" , "Undressed kidskin" , "Leather with a soft napped surface" , "unprepared material" , "Type of leather" .)