Heat oven to 350°F. In 10-inch skillet, cook onion, vinegar, wine and jelly over medium heat about 20 minutes, stirring frequently, until onion is tender and sauce is reduced and thickened.
Meanwhile, in small bowl, mix sour cream, mayonnaise, dill weed, onion powder, Beau Monde seasoning and cucumber. Refrigerate until ready to serve.
Bake biscuits as directed on can. Meanwhile, in large bowl, mix beef, cheese, salt and pepper. Shape mixture into 8 patties, 1/2 inch thick. Cook patties in grill pan, contact grill or nonstick skillet until meat thermometer inserted in center reads 160°F.
Split biscuits. Spread 2 to 3 tablespoons cucumber mixture on bottom of each biscuit. Top with burger, onion mixture and biscuit tops. Serve with tomato, lettuce and remaining cucumber mixture.