Sort of disc in a lady's handbag (7)

I believe the answer is:

compact

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'sort' is the definition.
(I know that compact is a more specific form of the action sort)

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for compact that I've seen before include "Mutual agreement" , "Dense; agreement" , "union" , "'Condensed, portable (7)'" , "Small case for face powder" .)

I've seen this clue in the Evening Standard.

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