The FDA has recently approved Kybella, a so called miracle drug that dissolves your fat in the neck.
Although this procedure sounds revolutionary in reality it is not. The drug that is injected in your neck is called deoxycholic acid and is also made naturally in your body to absorb fat. The process is similar to Mesotherapy which was touted as a non-surgical alternative to Liposuction to dissolve fat in other areas of your body. Like Mesotherapy the results are not consistent and the improvement is not as great as can be achieved with liposuction. If not injected properly it can destroy your skin. I would only recommend if you have minimal expectations.
Liposuction on the other hand is considered a surgical procedure but the incision is tiny and it usually performed under local anesthesia or local with sedation.