You can use popsicle molds or small plastic cups and craft sticks to freeze your popsicles. If doing the DIY method, cover the each filled cup with plastic wrap and poke a craft stick through the center of each.
Place sugar and mint in a small saucepan; muddle mint leaves in sugar. Add ½ cup water, stir, and bring to a boil over high heat. Boil until sugar is completely dissolved. (About a minute.)
Remove from heat and allow syrup to cool. Once cooled, pour through a strainer to remove leaves. This is your mint syrup.
Peel, seed, and roughly chop cucumber.
Place cucumber, mint syrup, lime juice, and ⅓ cup water in a food processor. Process until smooth. Add more water or lime juice to taste. (Makes about 2 cups of cucumber-lime goodness to pour in your popsicle molds.)
Sprinkle a few cubes of cantaloupe in the bottom of each popsicle mold, then fill each mold with cucumber mixture. Freeze for four hours or until set.
Notes
As a variation, my brother suggested swapping watermelon cubes for the cantaloupe cubes, and/or mixing watermelon juice in with the mint simple syrup. Sounds tasty to me!