Split sort of suit (7)

I believe the answer is:

divorce

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'split' is the definition.
(split can mean a divorce)

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

(Other definitions for divorce that I've seen before include "Get separated" , "Legal end to a marriage" , "Ending of marriage" , "End one's marriage" , "Split" .)

I've seen this clue in the Evening Standard.

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