Heat all three ingredients together in a saucepan over medium heat.
When the mixture comes to a boil, lower the heat and let simmer for 5-10 minutes.
Remove from heat and transfer to a heatproof bowl.
Refrigerate for 4 hours or overnight.
Transfer the mixture to an ice cream maker and process according to the manufacturer's instructions.
Transfer to a tightly sealed plastic container.
Place in the freezer for at least 3 hours.
Scoop and serve. Garnish with thyme sprigs.