Runs a chap to the women's institute (5)

I believe the answer is:

wides

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'runs a' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'chap to the women's institute' is the wordplay.
'chap' becomes 'des' ().
'to' is a charade indicator (letters next to each other) (I've seen this in other clues).
'the women's institute' becomes 'wi'.
'des' put after 'wi' is 'WIDES'.

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I've seen this clue in the Evening Standard.

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