Name of the game (3)
I believe the answer is:
tag
I believe this clue is a double definition.
'name' is the first definition.
(I know that tag is a type of name)
'the game' is the second definition.
(tag is a kind of game)
'of' is the link.
(Other definitions for tag that I've seen before include "Refrain" , "Tie-on label" , "Identity disc" , "Label - children's game" , "dog" .)