This looks very much like the chuck that PSI sells as the 'utility'. Basic 4- jaw chuck that uses tommy bars to open and close it.
I have the PSI version that I use with my ShopFox 1704, and have been very pleased with it. Note that PSI sells it in a kit that includes three sets of jaws (including Cole jaws), a wood screw, and an adapter for 3/4x16 spindles.
While I've been very pleased with mine, I do have three 'observations'
1. The ShopFox 1704 has a rather short bed (12"), and a chuck uses up between 5 and 6" of that length. Bottom line - you don't have a lot of working room to do longer spindles. This can be a potential problem if you are making spindle, and want to hold the piece in the chuck while drilling an axial hole (eg, a tool handle).
2. The ShopFox 1704 has a nominal 8" swing (6-7" is more reasonable taking into account the height of the banjo). That creates an interesting problem with the Cole jaws. The rubber thingies that hold work on the Cole jaws can be screwed into the jaw plates at several diameters, and in combination with the expandability of the jaws, that's supposed to give you a wide range of usable diameters. But the shallow swing of the ShopFox 1704 means that you can't open the jaws to their maximum diameter with the Cole jaws in place - and what that means is that you have a range of working diameters, but with several gaps spread across that range. Bottom line - you need to anticipate that characteristic when planning the diameter of bowls or other items made with the Cole jaws.
3. The chuck is pretty hefty, and if you are turning at high speed and switch off the lathe without first cranking down the speed, the intertia of that mass can cause it to unthread from the spindle (there is no locking screw to prevent it from unscrewing itself). Bottom line - always turn down the speed before stopping the lathe, or else use your hand to manually stop the spinning piece.
