Crossword Genius

Game whose winner won't have had a shot (7,8)

Ross

I believe the answer is:

russian roulette

I'm a little stuck... Click here to teach me more about this clue!

'game' is the definition.
(I've seen this before)

'winner won't have had a shot' is the wordplay.
I cannot quite see how this works, but
'have' could be 'let' (letting is a kind of having) and 'let' is found within the answer.
'a' could be 'an' and 'an' is present in the answer.
This may be the basis of the clue (or it may be nonsense).

'whose' is the link.

Can you help me to learn more?

(Other definitions for russian roulette that I've seen before include "Deadly gamble" , "risky business" , "highrisk game" , "chancy business" , "Dangerous game of chance" .)

I've seen this clue in The Telegraph.
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