According to TylerSC there is a new Cook Out open off the Woodruff Road area:
The new Cook-Out is now open on Woodruff Rd. at the old Burger King location. And they were quite crowded today.
Looks like the address is:
1820 Woodruff Road
Greenville, SC 29607
BTW, Cook Out doesn’t have an official website so any info you see on the web is most likely from a fan site. Funny to think about how a major restaurant like this does not have an official website. Crazy.