No through road that's shut (5)

I believe the answer is:

I believe this clue is a double definition.

'no through road' is the first definition.
(a close is not a through road)

'that's shut' is the second definition.
(synonyms)

(Other definitions for close that I've seen before include "cathedral precinct" , "cul-de-sac" , "Cathedral's precincts" , "Dense; nearby" , "Complete, a deal or case say" .)

I've seen this clue in The Telegraph.

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