Clue: Delay for audience, with cheers backing singer, one ditching the Stones? (6,7)
Answer: WEIGHT WATCHER
Explanation: Definition: one ditching the Stones
="One ditching the Stones". WEIGHT sounds like '**wait**' i.e. "**Delay** for audience"; plus W[ith]; plus reversal ("backing") of TA="cheers"='thanks'; plus CHER="singer".