Dissolve the arrowroot in a little water and whisk into the syrup until it is thick enough to coat the back of a spoon. Remove from the heat, stir in the lime zest and set aside to cool.

Lime juice is also used in cocktails such as the mojito (fresh mint and whole limes crushed together with sugar syrup, angostura bitters, rum, ice and soda) rum punch and margarita.