Game with some American, a star (7)
I believe the answer is:
canasta
'game' is the definition.
(canasta is a kind of game)
'some american a star' is the wordplay.
'some' indicates a hidden word (some of the parts of the word are used).
'CANASTA' can be found hidden inside 'american a star'.
'with' is the link.
(Other definitions for canasta that I've seen before include "Game played with two packs of cards and jokers" , "Card game at a scan" , "Two-pack card game" , "Card game resembling rummy" , "Card-game played with two packs of cards" .)