Put a large pot of water over high heat. When water boils, add salt and pasta. Cook until slightly underdone, about 6-7 minutes.
Meanwhile, heat a large skillet over medium heat. Add EVOO, garlic and anchovies. Cook until anchovies melt into the EVOO, then add thyme and wine. Simmer to reduce, about one minute. Stir in clams with their juice and the lemon zest.
Drain pasta, add to skillet and toss with sauce. Cook 2-3 minutes until pasta is al dente and has absorbed some flavor. Add parsley, salt and pepper. Serve with crusty bread for mopping up remaining juices.