In an extra-large bowl combine oil and garlic. Add tomatoes and salt; toss to coat.
Cook pasta according to package directions. Drain, reserving 1/2 cup cooking liquid. Add pasta and 1/4 cup cooking liquid to tomato mixture; toss to combine. Stir in mozzarella. Cover bowl; let stand 10 minutes.
Add basil, chives, black pepper, and a drizzle of additional olive oil to pasta mixture. Add remaining pasta water as needed to reach desired sauciness. Serve at room temperature.