A listener worried about name game (4,6)
I believe the answer is:
real tennis
'game' is the definition.
(real tennis is a kind of game)
'a listener worried about name' is the wordplay.
'worried' is an anagram indicator.
'about' indicates putting letters inside.
'name' becomes 'n' (common abbreviation e.g. on forms).
'a'+'listener'='alistener'
'alistener' anagrammed gives 'realtenis'.
'realtenis' going around 'n' is 'REAL TENNIS'.
(Other definitions for real tennis that I've seen before include "Old sport" , "ancient game" , "In which court member served" , "Early form of Wimbledon's game" , "Game played in court" .)