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Heat the oven to 180C/160C fan/gas 4. Put the tomatoes on a baking tray lined with baking parchment, then scatter over the garlic and thyme, reserving a few thyme leaves. Drizzle with the oil and season with a little salt. Roast for 25-30 mins until the tomatoes have softened but are still holding their shape.
Meanwhile, combine the yogurt with the tahini and ½ tsp sea salt flakes. Chill until needed.
Spread the cold yogurt mixture over a large serving plate. Spoon over the tomatoes, along with the garlic and thyme and pour over the roasting juices. Sprinkle with a pinch of chilli flakes, if you like, and the reserved thyme, then serve with flatbreads or focaccia for scooping everything up.