Preheat the oven to 325°F.
Heat 2 tablespoons olive oil in a large pan over medium heat and cook sliced onions, stirring occasionally, until soft and caramelized, about 30-40 minutes.
Place leftover prime rib in an ovenproof pan and warm in the oven for 15 to 20 minutes, then remove and slice thinly.
Slice the baguette into 4 equal pieces, then cut each piece in half lengthwise. Place on a baking sheet.
Place two slices of provolone cheese on the bottom half of each baguette piece and broil briefly until cheese melts, watching carefully to avoid burning.
Assemble sandwiches by layering 3 to 4 slices of warm steak, a handful of arugula, caramelized onions, and 1 to 2 tablespoons of horseradish cream sauce on each sandwich.
Serve sandwiches immediately and enjoy.
To make horseradish cream sauce, combine sour cream, horseradish, Dijon mustard, lemon juice, white wine vinegar, kosher salt, and chopped chives in a bowl and mix well.