Heat the oven to 400°F.
Mix the corned beef, Swiss cheese (1 cup), cream cheese, and dressing. Prepare and spread on 9×1 1/4 pie plate. Top with the remaining 1/2 cup of Swiss cheese, then cover tightly and place it in the refrigerator for 24 hours.
Bake for 15 minutes then serve with cocktail bread. Embellish with radishes and chives.