Samsung filed a patent in Korea for a mobile phone cover that includes an E Ink display to show notifications. Some covers include a transparent part (or just a hole) through which you can see the display - and if it's an OLED, it makes sense because this uses very little power (only lit pixels draw power in an OLED display).
This is just a patent application for now, but it will be interesting if Samsung actually produced such an accessory for one of its future or present smartphones.