You might like to check the run-out on different diameters of bar. If the chuck has been used a lot at one size then this may have affected the scroll, and so you could get very different concentricity at different sizes. There is not much you can do about this, but at least you will be aware that some sizes of stock are likely to be more iffy than others.
In case anyone else doesn't know what kerro is, it is what proper British English speakers call paraffin, and many others call kerosene. And although paraffin, in this sense is a liquid, it is nothing like 'liquid paraffin'. Alternatives to kerro include 'white spirit', and 'turps sub' (=turpentine substitute).
What happened to our glossary, I wonder?
Cheers, Tim