In a medium mixing bowl, whisk the eggs, heavy cream, salt, and pepper until the texture is uniform and aerated.
Place a large non-stick skillet over medium-low heat and add the butter to coat the surface.
Pour approximately 1/4 of the egg mixture into the skillet, swirling to create a thin, even layer similar to a crepe.
Cook for 2 minutes or until the edges are set and the bottom is lightly golden.
Sprinkle 1/4 of the cheese, chopped bacon, spinach, and chives evenly over the surface of the egg layer.
Once the cheese begins to melt, use a spatula to carefully roll the egg layer tightly from one end to the other.
Remove the roll-up from the heat and repeat the process for the remaining three portions.
Slice each roll-up in half diagonally and serve immediately.