Body Parts

Body Parts is a movie starring Jeff Fahey, Lindsay Duncan, and Kim Delaney. After losing his arm in a car accident, a criminal psychologist has it replaced with a limb that belonged to a serial killer.
A criminal psychologist loses his arm in a car crash, and becomes one of three patients to have their missing limbs replaced by those belonging to an executed serial killer. One of them dies violently, and disturbing occurrences start happening to the surviving two.