I had a similar problem with the clicking noise.  I tipped the washer over and took off the 2 motor mount clips with screws and the plastic pump assembly with mounting snap clips.  The motor pulled apart from the base plate and I was able to get to the motor coupler.  It removed with minimal effort.  I purchased a new coupler ( 3 pieces ) at Sears parts center and replaced the coupler.  I did find black "dirt" around the area of the coupler.  After I put everything back together and noticed that I had great difficulty in turning the motor shaft with the coupler in place.  The motor mounting clips pulled down the motor onto the coupling so much so that I had trouble moving the shaft.  When I ran a wash load, I smelled an electrical burn odor that was fairly strong.  I am concerned about the motor or whatever overheating and causing a fire.  I have a theory that the replacement rubber "gasket" may be thicker than the original one and it puts more load on the motor.  Also, where did the black "dirt" come from?  I am concerned that I did NOT put everything back the way it was.  Any help would be greatly appreciated.
C_The_Non-Plumber
                
 C Knott
                
 July 2007