To the jar in a blender, add the chopped cherries and sugar. Blend until completely smooth, about 1 minute. Pour in the cherry lambic and pulse for 10 seconds, just until combined. Set aside to allow the bubbles to go away.

In a small bowl, combine the heavy cream and sugar. Fill the popsicle molds with the cherry lambic mixture about 1/4 of the way. Next, layer with a few tablespoons of heavy cream and then the rest of the cherry lambic mixture. Pour the rest of the heavy cream into each of the popsicles and transfer to the freezer. At the one-hour mark add the popsicle sticks to each popsicle. Freeze overnight. Run the popsicle molds under warm water to loosen. Eat immediately!