___-A-Whirl (carnival ride) (4)

I believe the answer is:

tilt

(Other definitions for tilt that I've seen before include "Slope; joust" , "Slant - joust" , "Engage in a medieval joust - lean" , "Lean to one side" , "Slope; use a lance in jousting" .)

I've seen this clue in The New York Times.

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