Place beef in a resealable plastic bag. Whisk together Worcestershire sauce, lemon juice, garlic, salt, pepper, and oil, and pour over beef. Tightly seal bag, and let beef marinate at room temperature 2 hours, turning bag occasionally.
Preheat broiler with rack 4 inches from heat source. Transfer beef and marinade to a heavy oven-safe skillet just large enough to hold the beef. Spread 2 tablespoons butter over top of beef; broil 8 minutes. Remove from oven, turn beef with tongs, and spread remaining 2 tablespoons butter on top. Broil 5 minutes more. Remove from oven, and cover skillet tightly with foil. Let beef in skillet rest 45 minutes. Thinly slice, and transfer to a serving platter. Serve with pan juices.