If using raw shrimp, bring a large pot of salted water to a boil. Drop the shrimp in into the water, reduce the heat, and simmer for 2 to 3 minutes, or until pink. Drain, shell, devein the shrimp, set aside.
Crack the eggs into a bowl, add salt and pepper, and beat lightly with a fork. Melt 2 tablespoons butter in a large nonstick skillet over low heat. Increase the heat just a notch and slowly pour in the eggs. As soon as they begin to thicken, stir with a wooden spoon or a spatula. Remove from the heat and add the chives.
Spread butter on the bread. Divide the shrimp and eggs into 4 equal portions and heap the eggs on one half of each slice of bread and the shrimp on the other half. Serve at once.