Lots of people here using Chinese lathes and mills with great success. Accuracy requirements for clockmaking aren’t great anyway.
The biggest problem may be a good dividing head – most of the products available now at reasonable cost are based on rotary tables with chucks attached but I have doubts about their concentricity. There’s a “workshop practice” series book on Dividing which probably has designs for devices you can make.
I would recommend that you don’t go for division plates in this day and age but get an electronic divider which drives the spindle using a stepper motor through a worm gear. All the division ratios you could possibly want without the error-prone faff of working out which plate, hole circle, and how may turns and holes to move the detent. Also either learn to make simple single-point cutters or budget for rather expensive horological cutters.
I have a Myford dividing head to which I have fitted a stepper motor and I use the “World of Ward” driver. Works well but the Myford dividers are pricy unless you can find a second hand one.
If you want gears made there’s someone who advertises in the classifieds at the back of Horological Journal.