Crossword Genius

Ran to the little woman at mid-week (6)

Ross

I believe the answer is:

flowed

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'ran' is the definition.
('flow' can be a synonym of 'run')

'the little woman at mid-week' is the wordplay.
'the little woman' becomes 'flo' (I am not sure about the 'little' bit.).
'at' means one lot of letters go next to another.
'mid-week' becomes 'wed' (short for Wednesday).
'flo'+'wed'='FLOWED'

'to' is the link.

Can you help me to learn more?

(Other definitions for flowed that I've seen before include "Moved steadily in a stream" , "What the champagne did" .)

I've seen this clue in the Evening Standard.
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