Close tight (4)

I believe the answer is:

near

This clue is a double definition.

'close' is the first definition.
('near' can be a synonym of 'close')

'tight' is the second definition.
(thesaurus)

(Other definitions for near that I've seen before include "Miserly; approach" , "Close; almost" , "Niggardly - approach" , "Almost; approach" , "A short distance away" .)

I've seen this clue in The Guardian, The Telegraph and The Globe and Mail.

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