All round, it's a bit of a coincidence (4)

I believe the answer is:

coin

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'bit of a coincidence' is the definition.
'coin' can be an answer for 'bit' (old-fashioned term for a coin). I'm unsure of the 'of a coincidence' bit.

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for coin that I've seen before include "stamp" , "Metal money disc" , "Mint" , "Invent (a new phrase)" , "Money; devise (a word)" .)

I've seen this clue in the Evening Standard.

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