Crack your eggs into a bowl. Add buttermilk, cream, salt, and pepper - then whisk.
Preheat a non-stick pan on the stove over medium heat. Pour your eggs into the pan. Add two teaspoons of butter.
Stir constantly. After 20 seconds, remove your pan from the burner, continuing to stir. After 15-20 seconds, add your pan back to the burner. Continue this method until eggs are cooked to desired firmness.
Pour eggs onto a plate. Garnish with fresh chives and add additional peppercorn (if desired). Shave fresh truffle shavings on top.