Well, TN does honor your WV license, but whether or not you'll encounter any problems is a different question entirely.
A couple of things I remember from my last trip to TN:
Open Carry is legal for those with a valid permit/license to carry a concealed firearm.
"No Guns" signs have the force of law in TN.
Beyond that, you might want to review the information for TN at http://www.handgunlaw.us/ before you leave.