Hi,

Kenmore is made by several different companies, model#?

http://www.applianceaid.com/model.html

Some model# helps.

**It is still running but then "clicks" like something is trying to turn on and doesn't...it does the clicking periodically**

-Sounds- like the compressor may not be starting and is just clicking on and off.

http://www.applianceaid.com/refrigerator.html#clicking

Some info on clicking on and off.

If you want to have a peek at the start relay for the compressor, remove power and back panal on the refrigerator back bottom. The relay will be inside a black box on the side of the compressor, if the relay rattles inside when shaken, it is physically broken and probably why the compressor cannot start. Check and clean ( if needed ) the hot condensor coils underneath as well.

http://www.repairclinic.com/referral.asp?R=153&N=586521

A common Kenmore relay and overload, for the compressor.

jeff.

Appliance Repair Aid

http://www.applianceaid.com/