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Chasing the turtle refers to consuming Xanax in order to slow down, or chill. Xanax is often used after using other recreational drugs (with stimulant or insomniac properties) in order to induce sleep or enter a "come-down" period. As a turtle is a slow animal, chasing the turtle naturally means to slow down, usually after a long night of partying.
Hey man, you're pretty wired after doing that blow, maybe you should chase the turtle.
by Uncle Apple May 01, 2011