Prince not coming back for dance (10)
I believe the answer is:
charleston
'dance' is the definition.
(charleston is a kind of dance)
'prince not coming back' is the wordplay.
'prince' becomes 'charles' (Prince Charles).
'coming back' shows that the letters should be reversed in order.
'not' reversed gives 'ton'.
'charles'+'ton'='CHARLESTON'
'for' acts as a link.
(Other definitions for charleston that I've seen before include "US city - 1920s' dance" , "Town of South Carolina which gave its name to a 1920s dance craze" , "Dance making" , "Lively dance - then carols (anag)" , "Lively 1920s' dance" .)