Step 1

In a very large skillet, heat 3 tablespoons of the olive oil. Season the shrimp with salt and pepper, add to the skillet and cook over moderately high heat until lightly browned, 1 to 2 minutes per side. Transfer to a plate.

Step 2

In the same skillet, heat the remaining 1 tablespoon of olive oil. Add the garlic and chiles and cook over moderately low heat, stirring, until softened, about 1 minute. Add the clam juice and bring to a boil, then simmer over moderate heat until the broth has reduced by one-fourth, about 3 minutes. Whisk in the butter a few cubes at a time until incorporated. Add the shrimp and cherry tomatoes, season with salt and pepper and simmer until the shrimp are just cooked through, about 2 minutes longer. Stir in the lemon juice, cilantro and chives and serve.