The most common and most likely answer to this crossword clue is the 6 plus 2 plus 9 letter word BEGGAR MY NEIGHBOUR
I've seen this crossword clue in The Times
B
E
G
G
A
R
M
Y
N
E
I
G
H
B
O
U
R
Buddy explains!
The straight part
We know that "Game" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case game = beggar my neighbour.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does BEGGAR MY NEIGHBOUR mean?
BEGGAR MY NEIGHBOUR noun- A card game for two players in which the object is to win all of the other player's cards.