The scroll in a 3 jaw chuck has to have a small amount of lateral clearance within the chuck body or it would seize up. this creates a small and unavoidable radial error that grows as the chuck gets older.
Try this; put a piece of ground stock in the chuck using one of the tightening points. Mark it with an A using a felt pen. Then check the concentricity of the ground stock with a dial indicator. Note the max high and low amounts and points for A using the felt pen on the chuck body. Now repeat this for the rest of the tightening points.
You will find that the noted points are not all in the same position. most likely one of the drive points will give the least run out. this is because no scroll chuck is perfect, when you drive the scroll from one point on its side it is pushed laterally by the angled drive gear inside the chuck. this may increase or decrease the total error in the system.
Some machinists take advantage of this phenomenon and mark the drive point on their chuck that gives the least run-out error.
Unfortunately there are other errors in the chuck mechanism the scroll itself and the teeth on the back of the jaws also are not perfect; different diameter workpieces may give differing results.
For normal 3 jaw chuck work I do not worry about small errors, however if doing a long run of the same part that requires high precision it may help to find the best drive point to use to reduce error.
All this can be avoided by using a 4 jaw chuck and a dial indicator however the three jaw is a great time saver.
Edited By John McNamara on 24/06/2022 00:51:06