The image of a gecko is a lizard walking up a window, licking a spectacle-like eye cap clean. Both traits are genuine gecko specialisations, but they are not universal. Leopard geckos sit in the subfamily Eublepharinae, the eyelid geckos, whose name records the difference: they retain functional movable eyelids and blink.
They also lack the setae-covered adhesive lamellae that let a house gecko hold to glass by van der Waals forces. Leopard gecko toes carry ordinary claws suited to rock, gravel and burrow walls. This matches their ecology, since they are terrestrial animals of stony arid country rather than climbers of smooth bark or masonry.
Whether eyelids in this group are a retained ancestral condition or a reversal from the fused-cap state has been argued from both morphology and molecular trees, and the polarity of the character is not something to state flatly. The fat-storing tail is a separate adaptation to unreliable food, and it can be autotomised; a regrown tail is blunter and never quite matches the original.