Food that brings the mice round for a bit of a snack (5)

I believe the answer is:

mince

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'food' is the definition.
(mince is a kind of food)

I cannot understand how the remainder of the clue works.

(Other definitions for mince that I've seen before include "Chop food into small bits" , "Dice" , "Walk daintily" , "Finely chopped beef" , "meat that's prepared" .)

I've seen this clue in the Evening Standard.

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