Don,

I am having the same issue. I just replaced the Damper Control Assembly because after about a month of the starting and stopping (also from inside the frig, not the back where the compressor is) the frig compartment started freezing food - I researched and thought it to be the Damper Control motor perhaps was protecting itself by coming on and off because it couldn't shut the door - so I elected to spend the money (and time/frustration at poorly designed and placed screws) and replace the Damper Control...sure enough the door was stuck in the open position - almost "fused" in the open position...because there is a small motor attached to the assembly, I was relatively certain this was the sound I was hearing and the motor was doing it's job by on/offing protecting itself...after reassembling and plugging back in - it ran like a top and I didn't hear the on/off attempts any longer...until today - a little more than 24 hrs later the on and off attempts started again. I will say not as many tries - it was 20 + tries before whatever it is would run...now it's 3 or 4 tries and it doesn't happen as often, but nonetheless the problem is still there sans freezing my food.
Does anyone know what this could be? My research came up with 5 parts it could be, replacing the damper control leaves me with 4 parts it could be and none of them are cheap...this is a 14 yr old frig that is otherwise fine, but i'm going to have a hard time spending several hundred more dollars without knowing for sure it's going to fix it....help!!