Using a rolling pin, roll each slice of bread flat. Combine egg salad with 2 Tablespoons chives,and the oregano. Spread garlic butter on bread , then place cheese slice on top. Spread about 2 Tablespoons of the eggs over each cheese square, covering to edges. Roll as tightly as possible. Cut each roll in half crosswise. Secure with toothpicks if necessary. Place rolls in layers in storage containers. Cover and chill up to 24 hours.
Just before serving, lightly spread salad dressing on ends of each roll.Place bacon bits in a shallow dish. Dip ends of rolls into bacon coat. Arrange on serving platters.