Engadget posted a review of Samsung's Galaxy Note Edge - and all in all they are very happy with the device. They state that it is pretty much a Galaxy Note 4 - but more expensive and of course with the curved display - which still seems like an experiment in design.
Regarding the screen, Engadget says it looks great - and it's similar to the Note 4. DisplayMate also confirmed this a while back, SDC's plastic OLEDs offer pretty much the same performance as SDC's glass-based OLEDs. Some people like and adore the curve, it's certainly an attention grabber. Engadget did not find it to be very useful though and the review said that eventually he disabled most of the widgets on the edge. For left-handed users, the phone is not ideal a the curve is in the opposite direction.
The Galaxy Note Edge uses a flexible Super AMOLED display that curves around the right edge. The "main" display is a 5.6" QHD (2560x1440), and the right-stripe adds 160 rows that display icons or notifications. Other features include Android 4.4, 2.7 Ghz Quad-Core CPU, 3 GB of RAM, 16 mp camera (with Smart OiS), S-Pen, Heart-rate sensor, UV sensor, finger scanner, 32/64 GB of onboard memory (plus a micro SD slot) and a 3,000 mAh battery. The Note 4 features a premium metal (aluminum) frame.