injections for double chin fat

Are there any long-term nerve damage caused by fat-dissolving injections that did not resolve?

Surgical choices are not an option for me so fat dissolving injections seems like a good choice, however I am reading more about it and it seems like nerve damage can in fact happen (although I read they all have resolved). I have been told I am a good candidate but am worried about nerve damage. I don’t care about the temporary side effects, just permanent ones. Is this a safe product?

Can I massage my chin to drain the fluid from my fat dissolving injections?

Can I massage my chin to drain the fluid from my fat dissolving injections? I got fat dissolving injections four days ago and it’s still quite swollen, however not nearly as swollen as the first two days. I’m used to using my clarisonic massage head to massage my face neck and chest and was wondering I’d be able to use it to drain the fluid faster or should I just not touch it and let it run its course?