Greece brushes off fast food (13)

I believe the answer is:

cheeseburgers

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'greece brushes off fast food' is the definition.
I can't judge whether this defines the answer.

'greece brushes off' is the wordplay.
'off' indicates an anagram.
'greece'+'brushes'='greecebrushes'
'greecebrushes' is an anagram of 'CHEESEBURGERS'.

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I've seen this clue in The Daily Express.

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