As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
ENGINE NR 3 OVERHEAT LIGHT ILLUMINATED ON CLIMB OUT REFRENCED JRH AND CLOSED THE RIGHT WING ANTI-ICE SWITCH. LIGHT WENT OUT AND STAYED OUT FOR REMAINDER OF FLIGHT. CHECKED DUCTS AND CLAMPS ON NR 3 ENGINE OPS CHECK SYSTEM USING APU POWER IAW SMP. COULD NOT DUPLICATE PROBLEM.