Girl composed on the radio (4)
I believe the answer is:
maid
'girl' is the definition.
(I know that maid is a type of girl)
'composed on the radio' is the wordplay.
'composed' becomes 'made'.
'on the radio' indicates a 'sounds like' (homophone) clue.
'made' is a homophone of 'MAID'.
(Other definitions for maid that I've seen before include "- - -of-all-work" , "Damsel" , "Serving girl" , "daughter?" , "One in service" .)