Combine the eggs with enough cold water to cover by 3-inches. Bring water to a boil, cover, remove from the heat and let stand 13 minutes. Drain the eggs and cool under cold running water; peel them.
Cut the eggs in half lengthwise. Remove the yolks and transfer them to a bowl; mash with a fork until fairly smooth. Add the mayonnaise, sour cream, mustard, salt and cayenne pepper; mash with the fork until well combined and smooth. Stir in the sweet gherkins and chives.
Place the egg whites, cut side up, on a serving platter. Fill a pastry bag fitted with a star tip and fill the indentations with the yolk mixture; or, scoop the mixture into the eggs with a spoon. Sprinkle the yolk mixture lightly with the paprika.
