Beersheba Springs area?
You'll find a general store or two, that might serve fried chicken and pizza behind the counter, and that's it.
At the Monteagle exit from I24, you'll find a number of typical places, nothing to write home about. Head east to Sewanee for finer dining. IvyWild is stellar and there are others worth trying.
You can also head to McMinnville, but again, nothing fantastic there.