In a medium saucepan over medium heat, combine the cherries, 2 tablespoons of sugar, and lemon juice. Cook for about 5-7 minutes until the cherries start to soften and release their juices. Remove from heat and let cool slightly.
In a large mixing bowl, whisk together the heavy cream, whole milk, remaining sugar (½ cup), vanilla extract, and salt until the sugar is fully dissolved.
Add the cooled cherry mixture to the cream mixture, but reserve a few cherries for garnish. Stir until well combined.
Pour the mixture into an ice cream maker and churn according to the manufacturer's instructions, usually about 20-25 minutes, until it reaches a soft-serve consistency.
In the last few minutes of churning, gently fold in the dark chocolate chunks.
Transfer the ice cream to an airtight container and press a piece of plastic wrap directly onto the surface to prevent ice crystals from forming.
Freeze for at least 4 hours or until firm before scooping and serving.
Notes
Serve in a chilled bowl with reserved cherries and extra chocolate chunks.