Start by cooking your bucatini or spaghetti in a large pot of boiling water. Cook until the pasta is al dente, which will take around 8 to 10 minutes. Stir occasionally to prevent sticking. Avoid overcooking the pasta.
Heat the olive oil in a large Dutch oven over medium heat. Add the diced pancetta and stir until crispy and golden brown. This will create a savory aroma. Keep an eye on it so it does not burn.
Toss in the medium shrimp with the pancetta and cook until they turn pink and opaque, which should take just a few minutes. Stir gently to avoid overcooking the shrimp.
In a medium bowl, whisk together the eggs and grated Pecorino Romano until the mixture is creamy and lightly fluffy. Ensure that you take care not to add the eggs directly to the hot pan to avoid scrambling.
When the pasta is cooked, reserve some pasta water before draining. Add the hot pasta directly to the skillet with the shrimp and pancetta. This heat will help temper the egg mixture. Stir gently to coat well; add a splash of reserved pasta water if the sauce feels too thick.
Season your dish with salt and freshly ground black pepper. Taste as you go to ensure balanced flavors. The fragrant notes of the pepper should mix with the savory elements from the pancetta and creamy sauce.