The most common and most likely answer to this crossword clue is the 4 letter word BRAG
I've seen this crossword clue in The Times
B
R
A
G
More clues leading to the result BRAG
- Boast made by head of broadsheet paper
- Card game in British newspaper
- Boast from British newspaper
- Boast of book accompanying charity event
- Boast, giving support before start of game
- Crow King included among birds shot?
- Dress up for game
- Carrier holding rook or crow
- Dress up and show off
- British fund-raiser’s boast
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 = brag.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 BRAG mean?
BRAG noun- A boast or boasting; bragging; ostentatious pretence or self-glorification.
- The thing which is boasted of.
- (by ellipsis) The card game three card brag.
- To boast; to talk with excessive pride about what one has, is able to do, or has done; often as an attempt to popularize oneself.
- To boast of.
- Excellent; first-rate.
- Brisk; full of spirits; boasting; pretentious; conceited.
- Proudly; boastfully