Preheat oven to 500°F. Place pizza pan or rimmed baking sheet in the oven to preheat.
Combine 1 cup flour, undissolved yeast, sugar, and salt in a large bowl. Add very warm water and oil; stir until well blended, about 1 minute. Gradually add enough remaining flour to make a soft dough. Dough should form ball and be slightly sticky. Knead dough for about 4 minutes on a floured surface, until it is smooth and elastic. Cover and rest for 10 minutes.
While the dough is resting, cook the bacon to very crisp. Drain and crumble.
Stretch and pat dough with floured hands to a 10 to 12-inch circle. Place on parchment paper. Bake for 6 minutes.
Sprinkle with cheese, top with crumbled bacon, and crack the eggs over the top. Note: when cracking the eggs, create little wells of cheese so the egg has a place to sit. Brush the edges of the crust with olive oil.
Bake for an additional 6-8 minutes (or until eggs are done to desired consistency and crust is golden).
Garnish with chives, slice, and serve while hot.