Preheat the oven to 375 degrees F. Combine the cream cheese, mayonnaise, ketchup, horseradish and relish in a food processor and puree until smooth; transfer to a large bowl. Stir in the Swiss cheese, corned beef, sauerkraut and chives.
Spread the dip in a 1-quart baking dish and bake until browned and bubbling, about 15 minutes. Serve with bread.
Photograph by Andrew Purcell
Recipe courtesy of Food Network Magazine