Place the pineapple chunks and mint leaves in your blender.
Blend on high for about 30 seconds until the mixture is smooth and fragrant, with small specks of mint visible.
Add lime juice and honey to the blender, then blend briefly to incorporate the flavors.
Pour the mixture into popsicle molds or small cups, leaving a little space at the top.
Insert sticks into the molds or cover the cups with foil and place a small stick or toothpick through the center.
Place the molds or cups in the freezer and freeze for at least 4 hours or overnight until completely solid.
To serve, run warm water over the outside of the molds for a few seconds to loosen the popsicles.
Gently pull the pops out of the molds and enjoy immediately for the best texture and flavor.