Preheat oven to 375°F. Lightly grease a pizza pan or baking sheet.
Press biscuit dough pieces together on the pan, flattening and stretching to form one large circle that reaches the edges. Create a thin, even crust.
In a large skillet over medium heat, crumble and cook breakfast sausage until browned and fully cooked, about 7-8 minutes. Transfer cooked sausage to a plate, leaving drippings in pan.
Sprinkle flour into the hot sausage drippings. Stir constantly for 1 minute to create a roux.
Gradually whisk in milk, stirring constantly to prevent lumps. Continue cooking and stirring until gravy thickens enough to coat the back of a spoon, about 3-4 minutes. Season with salt and pepper.
Spread sausage gravy evenly over the biscuit crust, leaving a small border around edges.
Sprinkle cooked sausage crumbles over gravy, then top with shredded cheddar cheese.
Bake 15-20 minutes until cheese is melted and bubbly and crust edges are golden brown.
Let cool 5 minutes before slicing. Garnish with chopped chives or green onions if desired.