Song for that man on the radio (4)
I believe the answer is:
hymn
'song' is the definition.
(thesaurus)
'that man on the radio' is the wordplay.
'that man' becomes 'him' (I've seen this before).
'on the radio' indicates a 'sounds like' (homophone) clue.
'him' is a homophone of 'HYMN'.
'for' is the link.
(Other definitions for hymn that I've seen before include "Carol perhaps" , "Religious song of praise" , "Anthem" , "Song of praise to God" , "Special song" .)