Avocado Lime Cheesecake Delight

Heat the cream in a small saucepan over low heat until tiny bubbles start forming around the edges. Take the saucepan off the heat source and stir in sugar until it completely integrates with the mixture. Transfer this mixture to a medium-sized bowl and let it sit for about 10 minutes, allowing it to cool down.

In a food processor, combine the avocado and cream cheese until they form a smooth paste. Add some fresh lime juice to this mixture and process it until everything is fully incorporated.

Using a whisk, blend the avocado mixture into the cooled cream mixture. Then, pour this combined mixture into an ice cream maker and freeze it according to the manufacturer's instructions, which should take around 20 minutes.

Spoon the avocado mixture into a prepared pie crust and use a spatula to smooth out its surface. Place this in the freezer until it's solid, which should take at least 2 hours.

Finally, let this cheesecake sit at room temperature for about 10 to 15 minutes, or until it's slightly softened yet still firm enough to slice before serving.