Place the sliced peaches in a large saucepan.
Stir the honey, verjuice and water together and pour over the peaches so that they are completely covered. Add the cinnamon sticks.
Bring the mixture to a simmer over medium heat, and cook, uncovered, for 15-20 minutes until the peaches have softended a little.
Serve with yoghurt, custard or vanilla ice cream.
if not serving immediately, allow the peaches to cool, then store in an airtight container in the fridge for up to three days.