The TAZARA (Tanzania-Zambia Railway) operates scheduled services twice a week.

Hi there... do you mean departing from Klerksdorp specifically or somewhere more central such as Johannesburg. There are a number of options available using local transport and I will get back to you as soon as possible..
Kind regards
Frank

It might be difficult if not impossible to go direct and much easier to go Via a major city if you prefare a nice bus rather than a chicken bus or even several buses.

I suggest a company called intercape as i think they still run a route.

You can also get on to the Bazz Bus , get information at a only backpackers. Freda Brink @ 073 4552 193
Enjoy hope this help