Separate the eggs putting the whites in one large bowl and the yolks in four individual ramekins.
Using a mixer with a whisk attachment, whisk the egg whites until stiff peaks form. Fold in the cheese, chives, salt and pepper using a rubber spatula.
Spoon the whites into four equal sized mounds on a parchment lined baking sheet and create a deep well in the center of each mound using a spoon or your finger.
Bake the egg whites for 2 minutes and then add a yolk to each well. Return the eggs to the oven and bake for an additional 3 minutes or until the yolk is set.