In a medium saucepan set over medium heat, combine the halved cherries, 2 tablespoons of granulated sugar, and lemon juice. Cook for approximately 5 to 7 minutes, stirring occasionally, until the cherries soften and begin to release their vibrant juices. Once cooked, remove from heat and allow the mixture to cool slightly.
While the cherry mixture cools, take a large mixing bowl and whisk together the heavy cream, whole milk, the remaining ½ cup of sugar, vanilla extract, and salt. Continue whisking until the sugar is completely dissolved and the mixture is smooth.
Carefully fold the cooled cherry mixture into the cream mixture, making sure to reserve a few cherry halves for garnish later. Stir gently until the two mixtures are well incorporated.
Pour the combined mixture into your ice cream maker and churn according to the manufacturer's instructions, typically for about 20 to 25 minutes, or until it achieves a soft-serve consistency.
During the last few minutes of churning, gently fold in the dark chocolate chunks, allowing them to distribute evenly throughout the ice cream.
Transfer the finished ice cream into an airtight container. To prevent ice crystals from forming, press a piece of plastic wrap directly against the surface of the ice cream before sealing the container with its lid.
Freeze the ice cream for a minimum of 4 hours or until it is firm enough for scooping and serving.
Notes
For a delightful presentation, serve in chilled bowls topped with reserved cherry halves and additional chocolate chunks.