Beating gambler in Greece (9)

I believe the answer is:

bettering

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'beating gambler in greece' is the definition.
The answer and definition can be both related to competing as well as being present participle verbs.
Perhaps there's a link between them I don't understand?

'gambler in greece' is the wordplay.
'gambler' becomes 'better' (someone who makes bets is a gambler).
'greece' becomes 'g' (this might be a standard abbreviation I've not previously seen).
'better'+'in'+'g'='BETTERING'

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I've seen this clue in The Mirror.

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