To make BBQ Chicken: In a large frying pan, cook the chicken in olive oil over medium-high heat until just cooked, 5 to 6 minutes. Do not overcook. Set aside in the refrigerator until chilled through.
Once chilled, coat the chicken with 2 tablespoons BBQ sauce; set aside in the refrigerator.
To make the pizza: Place the pizza stone in the center of the oven and preheat to 500 degrees F for one hour before cooking pizzas.
Use a large spoon to spread ¼ cup BBQ sauce evenly over the surface of the prepared dough within the rim. Sprinkle 1 tablespoon smoked Gouda cheese over the sauce. Cover with ¾ cup shredded Mozzarella. Distribute half the chicken pieces evenly over the cheese (approximately 18 pieces). Place approximately 18 to 20 pieces of red onion over the surface. Sprinkle an additional ¼ cup Mozzarella over the top of the pizza.
Transfer the pizza to the oven; bake until the crust is crisp and golden and the cheese at the center is bubbly, 8 to 10 minutes. When the pizza is cooked, carefully remove it from the oven; sprinkle 1 tablespoon cilantro over the hot surface. Slice.