Compressor is hot and I hear clicking in back every couple of minutes. I understand that this indicates that the compressor is in a locked up / no start condition. the overload cools enough to reset and tries to start it again and kicks out on amp draw, then the whole cycle starts over again. But, How do I fix it?

SOURCE: Refrigerator compressor won't start.

There is normally an overload relay that protects the motor. If the motor is drawing more current than what is specified by the overload relay then it will trip. After that the bimetal will cool down and will attempt to start again. It is either that the motor is partially shorted (burned) or the starting capacitor is faulty. Before you condemn the compressor/motor (normally in one package), check or replace the starting capacitor. this can easily be done as the capacitor is readily acessible and has only 2 connections. If the capacitor is good, you can check the motor by measuring the resistance of the coil and resistance to ground. The motor coil should not be very low, maybe between 5 to 15 ohms, below that means that there is a short. Resistance of the coil to ground should be more than 500 megaohm, below that means the insulation is already compromised. If the motor/compressor is damaged, replacement will also require freon loading after motor replacement. It depends on where you are, there are places where the labor cost is so expensive that these appliances are not worth repaining anymore.

SOURCE: refrigerator Compressor hot to touch & fridge/freezer not cooling

you need to do an amp draw with your meter,clamp the run wire on the compressor,you should get 2-5 amp reading,any higher means the compressor is going bad,also should be a locked rotor amp(LRA) reading on comp.-mike

SOURCE: Mini Fridge not working MCBR445

Compressor is in a locked up/ no start condition. the overload cools enough to reset and tries to start it again and kicks out on amp draw, then the whole cycle starts over again.
Eric