1 paper-thin, lengthwise slice of European cucumber, for garnish
1/2 large cucumber, peeled
¼ teaspoon ginger, chopped
1/2 teaspoon finely torn mint, plus 1 mint sprig, for garnish
2 tablespoon honey
2 tablespoon fresh lemon juice
2 tablespoon fresh lime juice
1/2 cup chilled club soda
Cut cucumber in half length-wise and scoop out seeds. Puree cucumber and ginger and ¼ cup water in a blender. Strain the puree through a fine sieve.
Press the cucumber slice against the inside of a mason jar or highball glass and add ice. In a cocktail shaker, muddle the torn mint, honey, lemon and lime juices and 2 tablespoon of water until the honey is dissolved. Add ice 1/2 cup of cucumber juice and shake well. Strain into the prepared glass and stir in the club soda. Garnish with the mint sprig.