Shorten link in game (8,6)
I believe the answer is:
contract bridge
'game' is the definition.
(contract bridge is a kind of game)
'shorten link' is the wordplay.
'shorten' becomes 'contract' ('contract' can be a synonym of 'shorten').
'link' becomes 'bridge' (bridge is a kind of link).
'contract'+'bridge'='CONTRACT BRIDGE'
'in' is the link.
(Other definitions for contract bridge that I've seen before include "Card game" , "Instruction for nose job, perhaps" , "that requires two pairs of hands" , "Wherein four deck hands" , "Quartet play this" .)