Gather ingredients:
Prepare eggs: Grate eggs using the large holes of a box grater.
Combine dip ingredients: Stir together mayonnaise, cream cheese, relish, mustard, hot sauce, Worcestershire, salt, pepper, and paprika in a medium bowl until mostly smooth. Fold grated eggs and chives into mayonnaise mixture until combined.
Garnish and serve: Garnish with more chives, pepper, and paprika. Serve with potato chips.
