Options for Getting Rid of "Baby Face"?

Buccal fat pad reduction can help slim the cheeks, but as you have found it does not do much to change the jawline. There are several procedures available which can help provide a more sculpted jawline in a young person such as yourself. Excess fatty tissue underneath the chin and jawline can be removed with liposuction, or with a series of Kybella injections, which dissolves the fat in this area. Sometimes adding a chin implant or filler along the chin and jawline can help to improve the definition along the lower border of the face. It is difficult to say exactly what would be best in your particular case without any pictures, and really nothing is more valuable than an in-person evaluation. I recommend that you schedule a consultation with a facial plastic surgeon to determine which option will provide the best individualized result for you.
Best wishes,

I am glad you are happy with your buccal fat pad removal. It sounds like you were a good candidate. One option is liposculpting (liposuction of jaw and chin). This can help define your jaw line. Without photos it is hard to comment on fat grafting but this is also an option in young people. 
It may seem counter intuitive to add fat when you say your problem is fat cheeks. What we do is add fat around the cheeks to the side of the highest and most projected point of the cheek bone and taper it to the lower face. This helps to camouflage overly chubby cheeks.  This is especially helpful in thin women and in combination with buccal fat pad removal is a powerful maneuver. All of this can be done in clinic with some calming medications and local anesthesia.
I recommend getting a consult with a surgeon who does this procedure frequently to get a full facial analysis to make sure your specific goals are addressed.
Hope this helps.
Best of luck.
DrC

Thanks for sharing.  Buccal fat pad reduction is a procedure that removes the deep lower cheek fat pad that gives one a chipmunk look or the baby fat face look. This fat pad can be removed under local anesthesia through incisions inside the mouth. Ultimately it will give you a more sculpted lower face.  The face will look less round and upper cheeks will appear for prominent.  I am glad you like the procedure. If  you think you do have extra skin there are new technologies like ulthera that uses ultrasound energy to tighten skin.