Rather than a faulty fan, the clicking was caused by the default timer, a small device installed in a rectangular metal box that on this model (Amana) was mounted just behind the front kick plate. Sears estimated $240 for the repair. I ordered the part online ($18.50), and it took about 7 minutes to install. I ordered the coil brush ($4.95) also, which was a good deal, and cleaned the coils, also located behind the kickplate. Done.