First, liposuction is not a weight loss procedure, and will not help your daughter actually lose weight. Liposuction is best for adults who have small areas of fat they can’t seem to lose. It does not cause a significant amount of weight to be lost, it contours the body for a better shape. Second, I would generally not recommend liposuction to a young teenager even if they were a good candidate, because teenage bodies go through a lot of changes and the best course of action is simply to start and maintain a healthy diet and lifestyle. Learning good diet and exercise habits at a young age is important, and will last her a lifetime. It may take her a while to lose all the weight she wants, but if she keeps up good habits she should definitely be able to get to the weight and body she wants eventually. Try a nutritionist and/or personal trainer if she can’t seem to lose weight on her own, and a therapist might be a good idea for her insecurity issues.