Combine the coconut water and granulated sugar, or any kind of sweetener you prefer, in a large pot and turn the stove to low-to-medium heat. Keep stirring until all of the granulated sugar has melted. Set aside.
Juice both of your limes and dice the cucumber into chunks.
Combine the sweetened coconut water, lime juice, and cucumber chunks into a large blender and blend until the cucumbers are pureed.
Strain the mixture and pour into ice pop molds. Freeze for at least 6 hours, overnight is best.