To caramelize onions, melt 2 tablespoons butter in skillet over medium high heat. Add 2 large yellow onions, arrange in single layer, and don't stir until they start to brown. Gradually reduce heat to prevent burning and only stir when they start to brown too much. Continue cooking until a dark caramel color forms. Set aside.
To make spread, combine 2 tablespoons mayonnaise and 1 teaspoon creamy horseradish. I chose to set my 16 cloves roasted garlic directly on the sandwich but you can mash and mix with the horseradish mayo, if you prefer.
In small bowl, dress 2 cups arugula greens with 1 teaspoon olive oil and 1 teaspoon white balsamic vinegar. Season with salt and pepper, if desired.
To serve, layer sandwich with spread, dressed arugula, 12 ounces prime rib and caramelized onions. Serve cold.