Pause in the middle in this late rush (6)

I believe the answer is:

hiatus

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'pause' is the definition.
(thesaurus)

I can't explain the rest of the clue.

(Other definitions for hiatus that I've seen before include "Interval" , "Pause or break in continuity" , "Brief respite" , "Disruption" , "US hat I change for a break" .)

I've seen this clue in The Times.

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