Heat the oil in a large saute pan. Season the entire beef tender with kosher salt and pepper. Sear the beef on all sides until very brown. Meanwhile, make the mayonnaise. In a small bowl combine the horseradish, mayonnaise, and chives. Season with salt and pepper and set aside. Remove the meat from the pan and allow to cool completely. Using a very sharp knife, slice the beef into 10 thin slices. Season with salt and pepper. Spread a thin layer of mayonnaise on one side of the beef and lay 2 spears of asparagus in the center of each piece of beef. Roll the beef up over the asparagus. Arrange on a plate and drizzle with additional mayonnaise.