Is this an identical clock on ebay currently at £13-50?
In case you need parts
These lathes use double tapered hardened steel sleeve bearings that interact directly with corresponding tapers on the spindle. They're theoretically replaceable but practically next to impossible. They can be re-lapped to a certain degree if necessary.
They are incredibly tough and long-lived, and require very excessive abuse over a long time to become noticeably worn. That lathe looks great, great price, and older is better overall when it comes to this type of machine.
Well, after reading all your comments I thought let's try it, if I fail I just have to blame you.
So here are some pictures and a new video at the bottom.
Now somehow it got magnetized during the process (tested on a compass) so I'll make a short visit to a watchmaker around the corner.