The best fix is to install a new socket in the light kit if it has burned out.
Ceiling fan not working but light is.
Replace the batteries in the remote control and turn the power back on.
Turn off the breaker supplying electricity to the ceiling fan at you main electrical panel if the tester does not light.
Remove the batteries from the remote control and wait for about 10 seconds.
This is usually as a result of an electric short in the wiring.
Checking this part of the fan is also relatively simple.
Remove the screws holding the switch cover plate over the ceiling fan and.
If it will turn on the fan but not the ceiling fan lights try resetting the remote control.
Turn the ceiling fan off.