Method:
Crack eggs into a medium bowl. Add milk, salt and pepper; whisk until combined. Heat butter in a large skillet over medium heat just until it's almost melted, swirling the pan to coat the bottom and sides. Add eggs and cook, stirring slowly but continuously, until they just begin to thicken, about 1 1/2 minutes.
Begin vigorously stirring the eggs with a flat-edged wooden spatula, scraping the bottom of the skillet as you go. When eggs are just barely cooked through, after another 1 1/2 minutes or so, remove the skillet from the heat. Quickly stir in heavy cream to stop the cooking. Transfer eggs to 2 plates, top with chives and serve.