The speedo can't bind, it is not a mechanically operated piece, it uses a flying magnet that's spun by the cable and a clock sprung pickup disc on the needle, so no fixed connection there.
Set on a nice clean kitchen table with a good light above and if needed get a Mag glass to see :shocking::search:
the needle pulls off the front with just a friction fit, but be sure you dont bend that pin shaft it's pressed on to....it's just a friction fit....but very snug...
take the two screws off the dial plate, set it aside...I would not try cleaning it or the indicator needle, as those paints are rather extremely delicate and I have ruined enough in the way of instrumentations over the years.....not even water....
the backside is two sections with some 8-10 size screws in there....pull the sections apart really carefully, and you find a center jewel pivot and a needle bearing/pin set up in there, that keeps the concentric from the aluminum cup and the rotating magnet.....I just lightly lube the input shaft with a dap of ATF from a Qtip and a tap of WD40 to wash it down.....
and a light swap of alky haul over that hidden center bearing pin/jewel pivot point, then a dap of WD again, and reassemble very carefully, total time not over an hour, really, just be super CLEAN over it, and careful of that coiled spring setup on the dial pin.....when you have the compass card on it, the center pin should be easy to rotate around clockwise and when you release it should snap back to zero stop point with a slight metallic sound....
then you put the indicator needle in place pointing to dead nutz zero....there is a stop on the card for it also...the two should be damn nearly perfectly aligned....
I have done 5-6 of them GM speedos over the years this a way....same mechanism in all of them except the really creative B body cars....
:shocking::beer: