Preheat the oven to 400 degrees. Butter 4 small (8 ounce) ramekins.
Chop the artichoke hearts and spinach. Combine with mayonnaise, most of the chives (save some to garnish), and 2 tablespoons Parmesan cheese. Season to taste with salt and pepper. Divide the mixture among the ramekins.
Crack 2 eggs per ramekin, sprinkle with a small pinch of salt and pepper, the rest of the chives, and the remaining 2 tablespoons of Parmesan.
Bake for 14-15 minutes or until the egg whites are set and the yolks are cooked to your liking.