Pizzas with Eggs and Bacon

Olive oil as needed 

1 batch Thin Crust Pizza Dough

8 thick bacon slices, about 1/2 lb. total, cut into 1 1/2-inch pieces 

1/2 cup grated Parmigiano-Reggiano cheese 

4 eggs 

Salt and freshly ground pepper, to taste 

Snipped fresh chives for garnish