Preheat oven to 500 degrees with pizza stone on bottom rack.
Melt butter in a large skillet over medium heat. Saute garlic and shallots until fragrant and softened, about 2-3 minutes. Stir in white wine, heavy cream, salt and pepper and bring to a boil. Reduce to a simmer and cook until about 2-3 tablespoons of liquid remain. Stir in shrimp and cook until just starting to look pink, about 1 minute. Remove from heat and set aside.
Roll or stretch out the pizza dough into a 12-inch circle and place on a cornmeal dusted pizza peel. Top with shrimp, 5-6 dollops of ricotta cheese, mozzarella cheese, parmesan cheese, dried thyme and season with salt and pepper. Transfer pizza preheated pizza stone and bake until cheese is bubbling and crust is browned and crisp.
Top with chives and tomatoes and cut into wedges to serve.