Pour anise liqueur into a 6- to 8-oz. glass, and swirl to coat inside of glass; discard any excess liqueur. Fill glass with ice cubes.
Combine whiskey and next 3 ingredients in a cocktail shaker filled with ice cubes. Cover with lid, and shake vigorously until thoroughly chilled (about 30 seconds).
Remove ice from glass, and discard; strain mixture in cocktail shaker into chilled glass. Rub glass rim with lemon peel, and add to drink. Serve immediately.
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