I had the conditon you discribed with the shaft working to the left. I tried crimping the shaft where it exits the right side. On mine the odometer then  worked for a while then quit again.

The pot metal gear was then slipping. I could not get my speedo needle off to take it all apart. Somehow, I can't remember exactly, I got to the spot on the shaft where the pot metal gear rides.  Maybe(?) by pushing the shaft to the right enough to slip some wire cutters in and put a couple small crimps in the location where the pot metal gear rides. Then I pushed the shaft back into the pot metal gear. 3K miles and no trouble except for noise from the speedo or cable when it's less than 15 degrees F.

Mark Ingalls
85 GL

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