A Blue Tongue Skink should not be kept on sand. It isnt their natural substrate and it tends not only to get eaten but to also crust up the eyes, nose, vent and irritate the skin.
Blueys can be kept on particulates though, and most people do. SHAVED aspen (not shredded) and carefresh (in the hamster section of the petstore) are popluar, other people use coconut fiber or bed-a-beast. I personally use linoleum and lots of hides.
You could try misting him and seeing if that helps.
To help determine what is wrong we need more information.
Basking and cool temps?
how old is the skink?
How long have you had it?
Does he have a moist hide?
What are you feeding him?
Bluey's should be eating every day or atleast every other. You should probably put him on something like paper towels so you can watch his bowel movements too, that'll give you a better change of getting a sample to take to the vet to get tested.
Does it look anything like what is going on around Jack's eye in this picture? It is a bite from a female, but i'm trying to determine if it might be a burowing injury.
