Game with a rotten sauce on it (9)
I believe the answer is:
badminton
'game' is the definition.
(badminton is a kind of game)
'rotten sauce on it' is the wordplay.
'rotten' becomes 'bad' (similar in meaning).
'sauce' becomes 'minton' (I can't justify this - if you can you should believe this answer much more).
'on it' means one lot of letters go next to another.
'bad'+'minton'='BADMINTON'
'with a' acts as a link.
Can you help me to learn more?
(Other definitions for badminton that I've seen before include "Seat of the Duke of Beaufort - racket game" , "Racket sport" , "court action" , "in which rackets are involved" , "Game using shuttlecock" .)