Cross game (6)
I believe the answer is:
bridge
This clue is a double definition.
'cross' is the first definition.
(bridging is a kind of crossing)
'game' is the second definition.
(bridge is a kind of game)
(Other definitions for bridge that I've seen before include "Game; crossing" , "Join" , "British composer" , "One on the fiddle" , "Span, connecting structure" .)