Cut a cross in the top of each fig and open out the cut to halfway through the fruit. Arrange the figs in a small roasting tin or shallow ovenproof dish. Add a few drops of rose water to each fig, then drizzle with 3 tablespoons of the honey and dot with the butter.
Bake in a preheated oven, 190°C (375°F), Gas Mark 5, for 8–10 minutes until the figs are hot but still firm. Meanwhile, mix the yogurt with the remaining honey and gradually mix in a little of the remaining rose water to taste.
Transfer the figs to shallow serving dishes and serve with spoonfuls of yogurt sprinkled with Turkish delight.