You can e-mail me at
cumberlandgap@gmail.com and I'll try to hook you up with some active cavers in the Claiborne County, Tennessee area.
There are hundreds of known caves and plenty of potential to find more.
The East Tennessee Grotto (ETG) of the National Speleological Society offers loaner gear, training and trips nearby. They have several projects going including the need for volunteers to support The Haunted Cave at Cherokee Caverns this Fall north of Knoxville. Find them from the Find A Caving Club link at caves.org (the host site for Cavechat).
The Pine Mountain Grotto (PMG) is also active in that area but mostly in Campbell County for now.
Go with a Grotto, cave responsibly and be safe.
Mike Crockett