Tom Sizemore is the psycho killer. He is about to shoot Ralph Fiennes when Juliette Lewis saves him. Fiennes and Sizemore struggle, and Sizemore ends up holding onto Fiennes' tie for his life. Fiennes cuts off his tie and Sizemore plummets to his death.
Continuity mistake: This is the car chase scene, where Ralph Fiennes and Angela Bassett are in a limo being chased by two bad cops in a pickup. Early in the scene, you have the view from inside the pickup when it rams the limo from the rear passenger side, and you can clearly see bullet holes in the glass and rear of the limo (no weapons fired yet). Then a few seconds later in the scene, you can see the rear of the limo with no damage. Moments later, you see one of the cops firing an automatic weapon, and subsequently witnessing the holes being made in the limo.