Crossword Genius

WAGs perhaps quickly run setter over (6)

Ross

I believe the answer is:

hareem

I'm a little stuck... Click here to teach me more about this clue!

'wags perhaps quickly' is the definition.
I can't judge whether this definition defines the answer.

'run setter over' is the wordplay.
'run' becomes 'hare' (hare can mean to run very fast).
'setter' becomes 'me' (the setter of the clue).
'over' shows that the letters should be reversed in order.
'me' backwards is 'em'.
'hare'+'em'='HAREEM'

Can you help me to learn more?

(Other definitions for hareem that I've seen before include "Muslim living quarters for women" , "Group of women" , "Living quarters for wives and concubines" .)

I've seen this clue in The Independent.
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