Place lime wedges, cucumber and basil in a cocktail shaker.
Muddle until most of the juice is extracted from the fruit.
Add the remaining ingredients and fill shaker with ice. If you like your cocktail super cold put ice and water into the glass and let it sit until ready to serve then pour out the ice water before serving. Or just chill the glasses in the freezer for 30 minutes. I don't plan that far ahead so I use the ice water method!
Shake with lid on for at least 30 seconds. Pour into a sexy glass and garnish.