Android 4.2 has a neat feature that allows you to set a clock or animation or almost anything as a sort of screensaver, called a daydream. These show up when your phone is docked or plugged in.
Naturally, live wallpapers are a good fit for this feature. I just released a simple app that lets you use the current live wallpaper as your daydream. The limitation is that it must be the current live wallpaper. This is due to Android security–other apps cannot start live wallpapers on their own.