Women chop the first of our bananas (6)

I believe the answer is:

whacko

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'our bananas' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'women chop the first of' is the wordplay.
'women' becomes 'w' (standard abbreviation).
'chop' becomes 'hack' (synonyms).
'the first of' becomes 'o' (1st letter of 'of').
'w'+'hack'+'o'='WHACKO'

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(Other definitions for whacko that I've seen before include "Eccentric" , "Jolly good" , "nuts" , "Mad" .)

I've seen this clue in The Guardian.

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