Think about lighting anywhere reachable by wifi. No more electrical wiring in your house for light bulb sockets. Just attach a fixture or put a lamp base where you want it and use wifi powered and controlled LED lights.
It could free up so many small things to be designed to not need plugging in or bulky batteries: wall clocks, wireless mice and trackpads, remote controls, sonic toothbrushes, toys, and many other modern conveniences.
If small and light enough, this could also make wearable tech actually feasible: earrings and other jewelry that doubles as speakers and microphones, clothing with lighting or other dynamic decoration, and possibly even contacts that give you AR displays.
It could be used in series to power sections of e-paper for signs, display boards and wall paper. There would be no more need for a stand alone TV or monitor.
If used for powering individual components, this could feasibly affect robotics as well: what if each gear were independently powered and so there was no need for tethered power or heavy battery packs to enable large robots to move?
This is very exciting tech! I hope it is not vaporware, but even if this particular implementation is, it seems like the most likely future for small power needs.