Crossword Genius

Poet saving this game has cut himself off (5,3,7)

Ross

I believe the answer is:

burnt his bridges

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

'cut himself off' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.

'poet saving this game' is the wordplay.
I cannot quite understand how this works, but
'game' could be 'bridge' (bridge is a kind of game) and 'bridge' is found within the answer.
This explanation may well be incorrect...

'has' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.
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