Is there any risk of blindness for filler in the chin area?

Great question and short answer is there is a very faint risk of blindness with chin fillers and its almost close to zero. Having said that, the knowledge of facial anatomy and skill to do fillers is very important so if you get it done from someone with experince there should be no issues. 

There is a slight risk, but you'll want to see someone meticulous. The chin can be improved with well-placed fillers (Voluma, Radiesse, Bellafill) and Sculptra. This will allow you to try on the look before committing to a permanent option like fat or implants. I recommend getting a formal evaluation with a facial sculpting expert. Best, Dr. Emer

No matter the area of the face, there is always the possibility of a vascular occlusion. This is why it is critical that the healthcare provider you seek out has extensive training, a strong grasp of anatomy, and careful injection technique. There are some areas of the face that are higher risk (nose and forehead for example) but there is still some risk in any area of the face. With respect to blindness, this has typically been reported during filler procedures in the nose and forehead. Although it is exceedingly rare to get blindness from an injection in the chin area, it has been reported in the literature.
With medical procedures like dermal filler is important to see an experience and knowledgable treatment provider to minimize the risks as much as possible.

It is highly improbable to inject fillers in the region of the chin that would find their way through the arterial system to cause blindness.  There are instances of blindness related to injection in the region of the nose and mid face, but none that I am aware of from the area below the mouth.  Severe complications are quite rare with filler injections given the many thousands of patients injected every day.

Theoretically, it is possible that filler injected into the chin could be injected into an artery that might feed the eye and result in blindness.  That being said, it would be exceptionally and in 15 years of aesthetic practice, I have never seen or even heard of a case like that.  With any filler procedure or any injection into the face, you want to be sure that your provider has extensive experience in the desired procedure as wellas being expert in facial anatomy.  For example, I know many plastic surgeons who are excellent in the OR but has little experience with injectable fillers.

Unfortunately the answer to your question is yes. There are documented cases across the globe of people who have lost vision due to dermal filler treatments in the chin. The best option is to find a reputable Cosmetic Physician in your area and discuss your concerns with them. The risk is very low but unfortunately with every medical procedure there is never a 100% guarantee for no adverse outcomes. 

The filler should be placed in a 'tissue level' which does not relate to any blood vessel of that nature in any event. Anatomy is the key in all filler placements, which is why facial surgeons are more suited to the placement of filler since they have typically studied and operated in the facial planes. The ultimate question is whether any surgeon would go ahead and place filler for his family as you suggested - the answer is yes.