Combine the pineapple juice, coconut water, and ginger juice in a cocktail shaker or mason jar filled with ice. Shake well, taste, and if needed, add a bit of honey to sweeten. If your pineapple is sweet enough, you won't need much honey, if any.
Fill small, chilled glasses with lots of ice cubes, and razor-thin slices of lime. Pour the pineapple coconut water into the prepared glasses, and finish with an extra squeeze of lime if you like.
