Place eggs in a saucepan and cover with cold water. Bring water to a boil and immediately remove from heat. Cover and let eggs stand in hot water for 10 to 12 minutes. Remove from hot water, cool, peel and chop.
In a medium bowl, whisk together the chopped eggs, Worcestershire sauce, sugar, vinegar, cloves, mayonnaise, relish, olives and red pepper until evenly blended. Chill and serve spooned over fresh greens. Store in the refrigerator.