This is difficult to word correctly so here's a video.
I bought a Wii from someone which wasn't in the best of shape. The WiiMote is missing its battery cover, so I put a couple pieces of strong medical tape over the batteries to hold them in place which works fine especially with the silicone cover on top. I've attached some pictures. Before I did that though, I cleaned it up because there was some random stain on part of the WiiMote.
As you can see in the video, the WiiMote turns off when I select an app. Once the app is loaded I have to "wake it up" again to start using it. The same thing happens when I exit back to the main menu. It's certainly usable like this, just a minor inconvenience as it takes a second to sync back up.
Has anyone heard of this happening before? Is there a way to fix this?