In 12-ounce glass, muddle mint and honey syrup for about 8 seconds.
Add ice and lime juice, then fill with club soda.
Stir well and serve.
In heavy medium saucepan over medium heat, stir together honey and water until honey dissolves. Increase heat slightly, then simmer 5 minutes, stirring occasionally. Refrigerate syrup until cold, about 2 hours. (Can be prepared 1 week ahead. Cover and keep refrigerated.).