Place the frozen pineapple chunks, coconut water, lime juice, and ice cubes into the blender.
Secure the lid and start blending on a low setting, gradually increasing to high. Blend until the mixture is smooth and icy, with a fine, slushy texture.
Check the consistency; if it's too thick, add a splash more coconut water and blend briefly. If it's too runny, add a few more ice cubes and blend again.
Pour the frozen slushie into glasses, allowing the mixture to mound slightly above the rims.
Serve immediately with a lime wedge or a mini umbrella for a festive touch. Enjoy the icy, tropical refreshment!