Pull in and seem to be under the influence (4)

I believe the answer is:

reel

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'pull in' is the definition.
(thesaurus)

I don't understand how the rest of the clue works.

(Other definitions for reel that I've seen before include "Move unsteadily (like a Scottish dancer?)" , "long stretch of film" , "Lively dance; bobbin" , "Dance - swim" , "Totter" .)

I've seen this clue in the Evening Standard.

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