This thread is a bit old, but I wanted to try to bring it full circle, in case it might help someone else.
Basically, as a recap, I was getting ready to tear the base apart, and I was curious why the X axis crank seemed to jump about .010.
jhruska, and others, pretty much diagnosed it right. The X screw was worn, which when the brass feed nut hit the "loose" threads, it caused the bearings at the end to jump back into place. The bearings on the left side of the table were old and behaved strangely. When I took them out, they would "click" back and forth laterally (thrust wise), which caused the jumping of the dial away from the table.
I ended up putting all new bearings on both sides and a new X axis screw and new brass feed nuts.
It was interesting the left side captures the bearing firmly in the bearing retainer ring, but the right bearing retainer ring allows a little movement. Only one side need be rigid. It's a good design. The right side "free" allows a little more tolerance in screw dimension, as well as expansion/contraction of the screw for temperature variance.
The new screw/bearings/nuts removed most of the backlash. It's a consistent .007 backlash all the way through travel, which is the thrust play in the two new stacked bearings on the left side of the table. I'm surprised Bridgeport didn't use thrust bearings for this side. I think real thrust bearings would remove even more backlash.
I was a little disappointed with the .007 backlash because I had heard new screws/bearings/nuts should result in about .003 backlash, but the backlash is all in the new bearings on the left hand side. They are Japanese NTN bearings, but I think the design just isn't much of a thrust bearing.