An eye covering such as a contact lens may comprise one or more structures to pump tear liquid under the covering such that the covering can remain in the eye and correct vision for an extended amount of time. In many embodiments, the covering comprises a material having fenestrations to draw tear liquid under the covering and an outer portion shaped to contact the conjunctiva over the sclera, such that when the eye closes pressure of one or more eyelids urges tear liquid through one or more fenestrations and under the outer portion shaped to contact the conjunctiva. When the eye blinks, the pressure of the one or more eyelids can urge the covering toward the cornea such that tear liquid can pass through the fenestrations.