I'm not sure about how the uncertainty principle applies to everyday electronics, but one thing that wouldn't work without it is an electron microscope. Scanning tunneling electron microscopes are used to see things which are too small to observe with light, such as atoms.
The process they use is actually called quantum tunneling. basically, a negative charge is applied to a very fine, conductive tip, and the tip is positioned extremely closely to the surface you want to examine. Since the tip and surface don't actually touch, the charge can't transfer. However, due to the uncertainty principle, we can't really know that precisely zero electrons will transfer to the surface, and in reality there is a small probability that the charge will seemingly defy the laws of physics and "tunnel" across the gap into the surface. The probability that this happens decreases with distance, so the closer a part of the surface (such as an atom) is to the tip, the more electrons will tunnel through to it.
This only happens on a very small scale. It's theoretically possible for a basketball to run into a wall, and instead of bouncing off, tunneling through to the other side. But the more macroscopic an object is, the lower the probability of that happening.