Add the pineapple chunks, sliced cucumber, lime juice, mint leaves, cold water, and 1 cup of ice to a blender.
Blend until smooth and fully combined.
Taste the Pineapple Cucumber Refresher. Add honey or maple syrup only if the pineapple needs more sweetness.
For a smooth drink, pour the mixture through a fine mesh strainer into a pitcher. For a thicker smoothie-style drink, skip straining.
Serve immediately over ice.
Garnish with cucumber ribbons, pineapple wedges, lime slices, or fresh mint.