Hello, and thanks for your question. Thermage uses radio frequency which causes the skin to get tighter in the area being treated by heating the deeper dermal layer of the skin. Fat loss is generally not a concern as it lies deeper to the skin layers, although has been reported in rare cases likely related to the duration or the temperature achieved with the treatment. It's very important to go to an experienced physician who can control the depth and temperature of the treatment for an ideal outcome. If you are looking for a more preventative treatment option for fine lines under the eyes and a brow lift, we get great results with a single treatment of Ultherapy as well. Once again, it's very important to go to an experienced board certified physician to get the best results. Best, Dr Rosy Sandhu