The skin around your eyes, which is also known as the periocular area, can be up to ten times thinner than the skin on the rest of your face, making it more translucent, fragile and susceptible to damage.... The skin around your eyes, which is also known as the periocular area, can be up to ten times thinner than the skin on the rest of your face, making it more translucent, fragile and susceptible to damage....