Loss of fat around the eyes is not a commonly recognized risk from Rhinoplasty (Dr Young is in Seattle). As the other doctors have answered this is not common. It is a possiblity that some of the vessels around the nose could be affected with aggressive rhinoplasty (nose shaping, nose reshaping, nose plastic surgery, nose cosmetic surgery, rinoplasty, nose job) that could affect the blood flow to the parts of the eyes that are closer to the nose. This could be the only possible way of losing fat around the eyes. The other phenomenon that the doctors have mentioned could account for this sensation that you have lossed fat around the eyes. One is that you tend to notice things more after you have had a procedure. Two, the swelling around the eyes from the rhinplasty as it goes away could give the person the impression that they have lossed some volume around the eyes.
Hope that helps!
Thanks for reading, Dr Young
Dr Young specializes in Facial Plastic and Reconstructive Surgery and is located in Bellevue near Seattle, Washington