Question is: Was the movement on the shaft or within the housing? If only in the housing, it could be that the bush must be tightened after the shaft is fitted and aligned, so that the housing then clamps the bush in place.
I’m not sure that I understood what you mean by “bush must be tightened”. You are referring to a split bush?

This is what I have:

On
6 June 2025 at 12:52 jamesp1 Said:
But it looks like it could be a good first project when you get the lathe going, to make a bushing for itself from some leaded bronze. A nice little exercise in turning and boring with some useful outcome at the end.
Yes that is true. The bush is also easily accessible once the headstock is assembled.