Strtspdlx (please sign posts, or set up your Signature),
It is possible, depending upon softness and diameter of the workpiece and shape of the inner surface of the jaws, by putting one jaw at 12:00, to pinch the work between the bottom two jaws so that it is not even touching the top jaw. However, there would be an eighth inch air gap between the workpiece and the top jaw. For this reason, you should always put one jaw at about 06"00.
Second possibility would be that one of the jaws was meshed with the scroll out of sequence (2, 3, 1 for example) or jaws are in the wrong slots. But the runout that would induce would be pretty consistent. And you wouldn't be getting 3 to 5 TIR chucking on the ID.
Third possibility is that one or more of the jaws wasn't made for that chuck. Each jaw should have a number on it between 1 and 3. If you remove the jaws from the chuck and stack them, the only difference should be that the threads on the back of each jaw are each offset from the next by one-third the pitch. Jaws from two chucks with the same model number are not really interchangable. Although you should be able to regrind them to work. Jaws from chucks from two different makers are definitely not interchangable.
Try a radically different diameter workpiece.
Disassemble the chuck (it probably needs a good cleaning anyway) and examine the scroll.