Lightly grease an oval ovenproof dish. Arrange the cherry tomatoes in the dish and sprinkle with the herbs and half the cheese.
Put the flour in a mixing bowl, then slowly add the eggs, whisking until smooth. Whisk in the sour cream; then slowly whisk in the milk to make a thin, smooth batter. Season with salt and pepper.
Gently pour the batter over the tomatoes, then sprinkle the top with the remaining cheese. Bake in a preheated oven at 375 degrees for 40-45 minutes or until set and puffy. Cover top with foil if it browns too much before the batter sets. If serving hot, let the clafoutis cool a few minutes before cutting, or let cool to room temperature.