Connection to a game (6)
I believe the answer is:
bridge
This clue is a double definition.
'connection' is the first definition.
(bridge is a kind of connection)
'a game' is the second definition.
(bridge is a kind of game)
'to' acts as a link.
(Other definitions for bridge that I've seen before include "part for violin" , "Where four hands are needed" , "Crossing structure" , "Card game; structure" , "Game; crossing" .)