Before juicing your lemons, use a vegetable peeler or channel knife to peel off a strip(s) of zest for your twist.
Fill a cocktail shaker with ice. Pour in the honey syrup, lemon juice, and vodka.
Securely fasten lid and shake until mixture is very cold, about 30 seconds.
Strain drink into a coupe or martini glass.
Twist lemon peel over cocktail to release some of its oils, then drop it in. Enjoy while cold.