Splash the Pernod (or other anise-flavored liqueur) into a chilled old-fashioned cocktail glass. Twist the glass around to coat the sides, and pour out the excess. (The pros throw the glass up in the air with a spin, and let the excess Pernod disperse by centrifugal force).
Combine the other ingredients in a second glass filled with ice. Stir vigorously to blend well. Strain into the Pernod-coated class. Twist the lemon peel over the glass and drop it in.
