Retrobulbar fat, or the fat behind the eyeball, plays in important role in eye motion. In order to gain a better understanding of retrobulbar fat mobility during eye motion, MRI datasets of the eyes of a healthy subject were acquired during seven different gaze directions. The Demons deformable registration algorithm was used to derive time-dependent three-dimensional deformation vector fields from these datasets. Visualisation techniques were applied to these datasets in order to investigate fat mobility in specific regions of interest. In two of the three regions of interest, fat moved half as fast as the embedded structures. In other words, when the muscles and the optic nerve that are embedded in the fat move, the fat partly moves along with these structures and partly flows around them. This raises compelling research questions.