I have an Admiral side-by-side fridge that stopped cooling. The fan was still running but the compressor was clicking every 10-15 seconds & was trying to start. I read in another thread that a relay might fix the issue so I bought a new relay and installed it. The fridge started right up & ran for about 8 hours before it cut off and started clicking again. I also followed the continuity testing instructions in one of the posts & used a multimeter to test the compressor. I got 3, 4, and 7 as the results so I'm assuming that the compressor is okay. I can leave the fridge off for a day or so then plug it in and it'll work for 6-8 hours....then it just cuts off and starts clicking again. Is there something else I can test? I really appreciate any help you can offer!!

Thanks for the info! The fan beside the compressor is running when the compressor is on. There's a fan in the freezer that isn't running though. Also I repaced the capacitor when I replaced the relay overload.
Since the compressor runs for 8 hours or so then won't come back on, I'm stumped.