Lucas distributor
The inner shaft is upside down in this picture. At the top, which is really the bottom, is the drive dog, which is held in place with a roll pin. Immediately below the drive dog on the shaft you can see a machined scroll which draws oil up the shaft to lubricate the bushing. Next is a ball bearing, and in this case it seems to be wear in  that bearing which causes lateral play in the shaft, rather than bushing wear.
The points plate with condenser is sitting in location in the distributor body. It would have to be removed before the shaft is reinstalled.





Here the points plate is removed and sitting off to the side. The recess in  the distributor body, that receives the bearing, is evident.















The semi-circular weights that perform the centrifugal advance can be seen on the shaft. On the left is one of the springs that retards the timing as the engine slows; the other is out of sight. These two springs have different rates and to my knowledge are not available on their own, although there are distributor rebuilders who can deal with these units so they must be accessible somewhere. If anyone knows where they can be found please
contact me and let me know.