Even with a carry permit, there are lots of places where a gun is off-limits, from the obvious to the not-so-obvious (some laws apply only to Tennessee):
Most court facilities
Public facilities, including city parks and greenways.
School grounds, including public schools, private schools, and colleges. There's an exception when dropping off students, as long as the gun stays in the car and isn't handled.
Any private property where a notice is posted. In Knoxville, that includes all of West Town Mall.
Anywhere alcohol is served. In addition, you can't carry while you're drinking. In Tennessee, there's no threshold or blood alcohol level. No drinking whatsoever is allowed while carrying.