Cut short promotion about game (8)
I believe the answer is:
abridged
'cut short' is the definition.
'promotion about game' is the wordplay.
'promotion' becomes 'ad' (ad is a kind of promotion).
'about' is an insertion indicator.
'game' becomes 'bridge' (bridge is a kind of game).
'ad' going around 'bridge' is 'ABRIDGED'.
(Other definitions for abridged that I've seen before include "Epitomised" , "Cut short - big adder (anag)" , "Abbreviated, contracted" , "Shorter" , "Shortened as book may be" .)