Like posted above, the clicking is the servo motor splined shaft turning and the big plastic gear tilted toward the center of the machine under load. The gap opens and the servo motor turns but the gear leaning away clicks letting the Y head get off of home position.
When you open the Y Motor Gear box and remove the big plastic gear you will likely find the shaft worn thin letting the gear tilt toward the center of the machine. The two 685ZZ Bearings have long ago failed and the big gear shaft has been sliding inside the the inner 685ZZ bearing sleeve, metal to metal, grinding down the shaft.
Good News.. The Y Gear and Shaft is a item you can purchase from LHR as seen in that old invoice but at a newer price. Bearing you can find local as they are 5 mm x 11 mm x 5 mm with ZZ or 2 metal shields.
http://www.avidrc.com/product/1/bear...-bearings.html
We recommend replacing the 2 685ZZ Bearings when you change your Cut Motor Brushes at 250 Cut Hours.... They last longer but it is cheaper to replace the bearings early then replace the gear.