Ham & Cheese Breakfast Roll-Ups

In a medium bowl, whisk together eggs, milk, and chives. Season with salt and pepper. In a medium skillet over medium heat, melt butter. Pour half of the egg mixture into the skillet, moving to create a thin layer that covers the entire pan. Cook for 2 minutes. Add 1/2 cup cheddar and cover for 2 minutes more, until the cheese is melty. Remove onto plate, place 2 slices of ham, and roll tightly. Repeat with remaining ingredients and serve.