Not much time for Asti Spumante dishing out pastas (6)

I believe the answer is:

minute

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'not much time' is the definition.
(I've seen this before)

I can't explain the remainder of the clue.

(Other definitions for minute that I've seen before include "Barely perceptible" , "Small amount of time" , "Small; short time" , "Very small, like unit of time" , "Occupying very little space" .)

I've seen this clue in the Irish Times.

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