Smoker’s requisite produced by daily on tube (4,7)

I believe the answer is:

pipe cleaner

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But I can't explain it at all! Could you help me understand?

(Other definitions for pipe cleaner that I've seen before include "Smoker's aid" , "Smoker's accessory" , "Smoker might use such" , "Wire covered with tufts of wool" , "one's wiry, for a smoker" .)

I've seen this clue in The Times.

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