East Tennessee: Norris Lake Waterfront Community - Rock Harbor. This lot of .76 acres is a corner lot with lake view and Great Smoky Mountain views; lake access; covered marina, picnic area, basketball and volleyball courts and putting greens. NEW TAZEWELL is home to golfing and lakefront communities, and offers an abundance of outdoor activities. A small community, New Tazewell has a very quaint, intimate feel. Surrounded by water, hills and valleys, it offers a tight-knit community. Roughly an hour’s drive from Knoxville, New Tazewell is located in the northeast part of the state where Tennessee, Kentucky, and Virginia meet. Climate is temperate and has four distinct seasons. Tennessee has no income tax.