Make the syrup: In a small saucepan, bring 1 cup of water to a boil with the cinnamon sticks. Remove from heat and let sit for 10 minutes. Stir in honey and refrigerate overnight. The next day, discard the cinnamon sticks.
Make the cocktail: Combine Scotch, lemon juice, and syrup in a cocktail shaker filled with ice. Shake vigorously into a rocks glass filled with ice.