Follow story on the radio (4)
I believe the answer is:
tail
'follow' is the definition.
(both can mean to chase or pursue)
'story on the radio' is the wordplay.
'story' becomes 'tale' (synonyms).
'on the radio' shows a homophone (sound like).
'tale' is a homophone of 'TAIL'.
(Other definitions for tail that I've seen before include "Follow - rear part of aeroplane" , "Flexible part that extends from an animal's rear" , "part of coat" , "Follow; end part" , "Queue" .)