Fillers can work very well for this kind of problem, which is a very common problem in active cosmetic dermatology practices. The "domino effect," a name coined by my European colleagues, refers to the use of fillers to address unwanted anatomical changes that come with time (like hollowing cheeks and sagging under the chin) by treating an adjacent area that is responsible for the problem, rather than directly treating the problem. In this case, the use of a fat dissolver would not only NOT be addressing the root cause of the problem, but typically involves a multi-treatment session set of injections with considerable downtime after each session. Instead, one might consider the issue in the following manner. If the hollowing of the cheeks seen in the frontal view were treating with a volumizing filler, the face shape would become a more desirable oval and this would likely "lift" the face to improve secondarily the jawline and the underlying submental area that is in question area. Additionally, in profile view, it would appear that the chin might be augmented with a volumizing filler so that its projection would be more in harmony with the projections of the lips and the nose--but importantly would secondarily further straighten the jawline and also improve the submental area. These treatments, even when performed in the same session, typically engender little to no significant downtime, and the aesthetic results elicit an immediate "Wow!" reaction. And this known as "domino effect," since, just like hitting one domino will knock all the rest down along the line, filling/volumizing one appropriate area can achieve a very desirable secondary benefit in an adjacent area. But, you would be wise to consult a board certified cosmetic dermatologist and ask to see his/her personal B&As before agreeing to proceed. Inexperienced and medspa type injectors often continue to simply "chase after lines and wrinkles," with fillers, rather than approach treatment as described above. Hope this helps and best of luck.