Add crushed ice to a shaker with 8 to 10 purple basil leaves. Using a muddler or the back of a wooden spoon, muddle the purple basil leaves (mash them up with the ice). Add white rum and Honey-Lemon Mix (to taste) then shake until well chilled. Strain into a martini glass and garnish with a purple basil leaf.

To make Honey-Lemon Mix, combine 1/4 cup freshly squeezed lemon juice with 1/8 cup honey and 1/8 cup water in a small bowl or liquid measuring cup. Whisk until the honey has completely dissolved into the mixture. This makes enough for about three drinks.