Performance with ball introduced by Carol (4,3,5)
I believe the answer is:
song and dance
'performance' is the definition.
(song and dance is a kind of performance)
'with ball introduced by carol' is the wordplay.
'with' becomes 'and'.
'ball' becomes 'dance' (ball can mean an event for dancing).
'introduced by' is a charade indicator (letters next to each other).
'carol' becomes 'song' (I've seen this in another clue).
'and'+'dance'='anddance'
'anddance' after 'song' is 'SONG-AND-DANCE'.
(Other definitions for song and dance that I've seen before include "Kerfuffle" , "Routine" , "Unnecessary fuss" , "Ingredients of musical - fuss" , "Silly fuss; some entertainment" .)