Element hanging round game making one cross (5)
I believe the answer is:
tigon
'one cross' is the definition.
(offspring of a lion and a tiger)
'element hanging round game' is the wordplay.
'element' becomes 'tin' (tin is a kind of element**).
'hanging round' means one lot of letters goes inside another.
'game' becomes 'go' (go is a kind of game).
'tin' enclosing 'go' is 'TIGON'.
'making' is the link.
(Other definitions for tigon that I've seen before include "Cross between tiger and lion" , "Tiger-lion hybrid" , "Hybrid offspring of two big cats" , "Big hybrid of the cat family" , "Animal" .)