A second coffee maybe (7)

I believe the answer is:

instant

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'a second' is the definition.
(I know that instant is a type of second)

I can't explain the remainder of the clue.

(Other definitions for instant that I've seen before include "Jiffy" , "Immediate; moment in time" , "pressing" , "Occurring with no delay" , "Mo" .)

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

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