Two items are possible and I have had both! My car had the original speedo cable and outer part and it had been kinked at some time. The speedometer jumped a bit. I got the kink straightened got some graphite and really lubed up the cable and got it going for a while, but the kink I fear had a memory and came back. With that said, while I had the speedometer pulled down to replace the connections at the top end, I got a little flat head screw driver and turned on the speedometer input a bit. It was kind of stiff, my thoughts are it should turn easily. Talked to my cousin who also has a model A and he suggested to me, to take the one screw out of the speedometer back and fill it with wd40 as best as I could and just let it sit face down for a day or two. I did it and got my screw driver in the input again and just started turning and turning and it did loosen after a while, yet I think I was just lucky. I know there is a small thin metal cover at the bottom and I also remove it and the grease inside was hard. I did the same thing with wd40, and used some permatex to reseal the thin plate, put everything back together and no jumping around. So for me, eventually, it was two things, the speedo cable had to be replaced and the speedometer just getting tight with dry lubrication that I was able to loosen up.