How to Make It
Preheat oven to 500°F. Place a pizza stone in oven while it preheats.
Place pizza dough on a lightly floured surface; roll into a 14- x 10-inch rectangle. Transfer to parchment paper. Pierce all over with a fork. Transfer dough and parchment to hot pizza stone; bake at 500°F until lightly browned, about 5 minutes.
Combine coconut milk and next 6 ingredients (through ginger) in a bowl. Remove crust on parchment from oven. Spread 1/2 cup coconut milk mixture on crust, leaving a 1/2-inch border. Top with chicken, carrots, and cheese. Return pizza on parchment to hot pizza stone in oven; bake at 500°F until cheese melts, about 4 minutes. Drizzle with remaining coconut milk mixture; top with scallions, sprouts, and cilantro. Cut into 8 pieces.