The most common and most likely answer to this crossword clue is the 4 letter word KENO
K
E
N
O
Buddy explains!
The straight part
We know that "game of chance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case game of chance = keno.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 KENO mean?
KENO noun- A gambling game, a variety of the game of lotto, played with balls or knobs, numbered, and cards also numbered.