Looking through my Grizzly catalogue, it seems their (and a lot of other) 12" swing lathes come with 6" three-jaw and 8" four-jaw chucks. I would say either size would work, six or eight inches. What determines this is how far out the jaws can go before they hit the ways. On a 12" swing lathe, with an 8" chuck, the jaws would have to be out of the chuck by about two inches or more, theoretically, so I would say an eight-inch chuck would suffice, but no larger.I would also recommend you look into getting a four-jaw, independent chuck over a three-jaw scroll/universal chuck. A brand-new, quality three-jaw chuck can maybe repeat to a few thousandths' runout (.003 to .005 ish). Although a four-jaw does take more time since you must dial the part in to run true, the accuracy and TIR are limited only to the accuracy of your indicator and the time you wish to spend on it. A four-jaw chuck can also hold odd-shaped (IE square, octagon) pieces. Then again, you can adjust the runout of a three-jaw somewhat with a mallet and an indicator. If all you need is .005 TIR (or, runout that you can't see at a glance), a three-jaw is fine.I would also advise against a six-jaw chuck. A six-jaw chuck looks like a mean device, but they really don't provide a great difference in precision. They also require good, truly round stock to function well. If you work with a lot of tubing or pipe, a six jaw chuck also comes in handy due to the greater distribution of force.Sorry for the long-winded response, but there's a lot to choosing a chuck. Summary: I'd try an eight-inch chuck. A four-jaw independent chuck if you want or need the ability to turn square stock and/or less than .005 runout, or a three-jaw scroll chuck if you don't need sub-.005 runout and only mess with round stock...