Our ceiling fan light fixtures clicks and stops providing power to the bulbs after about 30 seconds, regardless of whether the chain switch is passing power to the bulbs or not. It has a separate light switch in the wall and when we flip it on about 30 seconds will pass until the fixture clicks and stops sending power to the bulbs. This occurs regardless of whether the pull chain is passing power to the bulbs or not. I don't see any obvious circuit breakers in the fixture and am unsure where the faulty breaker is. There is an audible click whenever it shuts off. Would this be repairable or should we look at replacing the whole fan?
Sounds like a faulty power limiter
Code / UL White Book require that fans have a current-limiting electronic device on any socketed lights. The purpose is to keep people from "over-lamping" or using larger bulbs than the fixture is able to handle (thus overheating, starting fire etc.). It sounds like that device is malfunctioning.
Code requires it be there, and spares are readily available.