Can MyEllevate cause damage to muscle and tissue?

I have personally performed this procedure, and I can attest that it is a very safe procedure to enhance the upper aspect of the neck, in particular.

The initial portion of the suture utilizes the provided suture to lyse (ie, cut) a couple centimeters of the anterior edge of the platysma muscle. Following this, the areas are further numbed and then the suture is passed in a precise fashion, above the platysma muscle, in a defined pattern across the upper neck. The technique is done in such a way to anchor around the tissue-retaining ligaments in the neck. If the suture pulls through the ligaments, the surgeon should recognize this during the procedure as the suture will pull and not be firmly attached. The surgeon should note this has occurred and redo that region, or the procedure, since the suture will not be able to hold tension and suspend the tissues.

It's difficult to make things "too tight" with the suture, because the suture is relatively thin and can break when too much tension is placed on it.

So, it does intentionally cut muscle at the start as this is necessary to improve the cervicomental angle. If it cuts tissue in the suspension, then it needs to be refixed for proper technique.