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