A chin augmentation is a procedure done to increase the projection or height of the chin and this can be done with the use of fillers, implants or by moving the bones of the chin. Dr Shane has given an excellent answer on chin fillers and tightness so I won't elaborate on that further.
Depending on what surgery was done, the underlying cause of the sensation of tightness, tenderness and aching may be different. During the early post-operative period, it is not uncommon to have a sensation of soreness or tightness as the skin is adjusting to the increased chin volume and stretch. Occasionally this could also be due to the intra-oral incision if you had an insertion of the implant via that route. Some swelling and bruising can be expected. Oral painkillers should be able to control the pain adequately and the tenderness or tightness should settle in a week or two. If the symptoms persist, you should check in with your doctor.
A much less common cause of tightness or tenderness after chin augmentation could be due to capsular contracture of the implant or placement of an overly large implant. However, this happens much later and not in the immediate post-surgery period. If it is that troublesome, you might consider the removal of the implant.
