The feet of gecko are not sticky to touch but contain many tiny hair, that when pressed against a surface stick to it due to Van der Waals forces developed by shear stress. Van der Waals forces develop between electric dipoles.
Some cool current applications are wall climbing robots which attach to the walls by pressing this material and robots developed by NASA to clear debris and old satellites in outer space.
As the feet of gecko are not sticky to touch, their adhesion is durable and does not wear off. They can even attach to rough or dirty surfaces as the hair can easily clean themselves due to the small surface area of their tips.
Some applications that I could think of were, using this adhesive material (made from carbon nanotubes, plastics and silicon) and attaching it to the bottom of a drone. The drone can squeeze the material attached with spring (to ensure equal load distribution) to develop shear force which allows the object to stick with it and squeeze again to let it go. This application could also be utilized at the bottom of a helicopter to load and unload their payload. Hope you learned something!