Bamboozled, as a bat may be? (7)

I believe the answer is:

stumped

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'bamboozled' is the definition.
(thesaurus)

I cannot understand how the rest of the clue works.

(Other definitions for stumped that I've seen before include "Bewildered (on the way out?)" , "You'd walk if this" , "Defeated by puzzle" , "in perplexity" , "Perplexed -- way to get out at cricket" .)

I've seen this clue in The Times.

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