Absolutely not!
Teenager's bodies are growing and changing in so many ways. Although your daughter is slightly overweight now, that may change dramatically over the next few years. Health is always more important than appearance. Surgery always has risks as minimal and infrequent as they may be, but bad things can happen. I would not even consider liposuction as an option at that age. It is much more important to instill in children good eating and exercise habbits and the confidence that they can take care of weight problems on their own, or at least try very hard before giving up. Also, Liposuction is not a means of weight loss. She would still be over weight, even with an aggressive liposuction procedure, because the fat removed doesn't weigh that much. Liposuction is performed to improve the shape of someone's figure. Once a woman's body finishes developing, liposuction is much more reasonable. But, even at that time, I always address weight issues and make sure they understand that liposuction is Not a means of weight loss. It is a way of changing your shape and hopefully giving them the figure they have always dreamed of.