Left buzzing, having taken cocaine (6)

I believe the answer is:

exited

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'left' is the definition.
(to exit is to leave or depart)

I cannot understand how the rest of the clue works.

(Other definitions for exited that I've seen before include "Took one's leave" , "Went out, departed" , "Left the stage" , "Went out, probably through door" , "Go out of a place" .)

I've seen this clue in The Independent.

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