Tragic figure from Greece eating no bananas (8)

I believe the answer is:

antigone

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'tragic figure from greece' is the definition.
I can't tell whether this definition defines the answer.

'eating no bananas' is the wordplay.
'bananas' indicates an anagram (bananas can informally mean crazy).
'eating'+'no'='eatingno'
'eatingno' anagrammed gives 'ANTIGONE'.

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(Other definitions for antigone that I've seen before include "Greek play" , "classical play" , "Jocasta's daughter" , "The Burial at Thebes is Heaney's translation of Sophocle's (8)" , "Tragedy by Sophocles" .)

I've seen this clue in The Telegraph.

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