Meanwhile, heat oil in a large, wide pot over medium-high heat. Add garlic and chile flakes and cook until fragrant, about 2 minutes. Stir in tomatoes and clam juice and cook until hot. Add clams, salt, and pepper. Cook, covered, until clams open, 4 to 5 minutes.
Drain cooked pasta and put in a serving bowl. Pour clam sauce over pasta and sprinkle with parsley. Serve with cheese on the side.