I've made griiled pizzas.
Place the dough on the grill, and close so that the top does not quite touch the dough. The dough will rise, and both sides will get grilled. This would take a few minutes, maybe 3 min, until lightly browned.
Open it up, add the toppings, and close again, making sure that the top half does NOT touch the toppings. The cheese will melt, and get all gooey.
When I make pizza like this, I use toppings that are fully cooked, and are sliced fairly thin.
Yum.