Crossword Genius

Having the edge? (6)

Ross

I believe the answer is:

rimmed

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

'having the' is the definition.
I can't tell whether this definition defines the answer.

'edge?' is the wordplay.
I cannot really see how this works, but
'edge?' could be 'rim' (rim is a kind of edge) and 'rim' is found in the answer.
The remaining letters 'med' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Another definition for rimmed that I've seen is " `with an edge".)

I've seen this clue in The Globe and Mail.
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