Island in the English Channel whose two main parts are linked by isthmus La Coupee (4)

I believe the answer is:

sark

(Other definitions for sark that I've seen before include "One of the Channel Islands" , "English Channel isle" , "shirt from Scotland" , "Shirt (Sc.); Ch. island" , "Scottish shirt; island" .)

I've seen this clue in The Mirror.

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