Prepare the honeydew by cutting it in half, removing seeds, scooping out the flesh, and cutting into 1-inch cubes. Freeze half the cubes on a parchment-lined baking sheet for at least 2 hours until solid.
Peel and slice the cucumber, removing seeds if they’re large. Set aside a few thin slices for garnish if desired.
Combine fresh honeydew cubes (the unfrozen half), cucumber, lime juice, honey (if using), mint leaves, and salt in a blender. Blend until completely smooth, about 30-45 seconds.
Add the frozen honeydew cubes and ice to the blender. Pulse until you achieve a slush-like consistency – don’t over-blend or it will become too liquid.
Taste and adjust sweetness if needed with additional honey or lime juice for balance.
Pour immediately into chilled glasses and garnish with fresh mint leaves, cucumber slices, and lime wedges.
Serve with a straw and spoon for the perfect slush experience – this drink is meant to be both sipped and spooned!