Preheat oven to 500°F. Place a pizza stone or heavy baking sheet in oven (keep pan in oven as it preheats).
Place dough in a microwave-safe bowl; microwave at HIGH 30 seconds or until room temperature. Roll dough into a 14- x 10-inch rectangle on a large piece of lightly floured parchment paper; pierce dough liberally with a fork. Carefully place parchment paper and dough on preheated pizza stone or baking sheet; bake at 500°F for 5 minutes or until crust is lightly browned.
Combine yogurt, buttermilk, and mayonnaise in a bowl; spread over crust, leaving a 1-inch border. Top evenly with tomatoes, onion, chicken, and mozzarella; bake at 500°F for 5 minutes. Place arugula and oil in a bowl; toss to coat. Sprinkle arugula mixture, blue cheese, bacon, avocado, and pepper over pizza. Cut into 8 slices.