Your question is a good one and one that has not been brought up very much. When I was doing my training as a glaucoma specialist at the Harvard Medical School, the co-directors of the glaucoma department, Drs. Lou Pasquale and Cynthia Grosskreutz brought to my attention a very intersting side effect of the prostaglandin eye drops (most notable bimatoprost). They published a paper on their findings and I think you will find this paper interesting as it answers your question. Links can not be posted, but simply do a Google search for: "Periorbital Changes Associated With Topical Bimatoprost + Pasquale + Grosskreutz" and you will find the paper.
I'll summarize it for you: bimatoprost can cause fat atrophy and has been noted to cause enophthalmos (sinking of the eye into the orbit due to loss of periorbital fat). I saw this happen in my clinic for the first time recently with one of my patients who was using bimatoprost for cosmetic eyelash growth--Latisse®. Up until this point, I only saw this happen with patients using bimatoprost directly on the eye to treat glaucoma--Lumigan®.
The good news is that this is reversible but it does require discontinuation of bimatoprost. Because of this side effect and others we have seen (and some we have not seen like iris color changes, which is not reversible), we have begun research on creating a natural eye drop to enhance eyelash growth. This is something that is greatly needed. To date, most of the other non-FDA-approved alternatives to Latisse® included a prostaglandin derivative which could potentially cause all the same side effects as the prostaglandin molecule itself, so be careful if you have already seen that this is something that you are prone to.