I have used it to test on my D750 and here are my findings from a short session of shooting random stuff indoors
Good
1. Really sharp across all all focal lengths. While some reports says the 200 mm end is softer, I found it sharp enough.
2. Contrast is good overall, but lacks a slight bit at 200 mm on bright objects
3. VC is excellent and silent compared to the Tamron 70-300 I had before
4. Well built and feels solid to hold. Bit front heavy on a D750 compared to the Nikon 70-200 F4 I have but expected as this is twice as heavy
5. Focus speed is excellent. In dark conditions also it did well, but I understand the Nikon 2.8 is better in low lights
6. Half the price of Nikon, but performance is close. DXO in fact rates this lens to be sharper than Nikon 2.8, but most other reviews suggest the other way. I think the Nikon 2.8 is consistently sharp from 70-200 at 2.8. The tamron may edge the Nikon in certain focal lengths, but from reviews it is slightly behind the Nikon 2.8 at 200 at 2.8
7. Colours are nice
8. Bokeh is excellent
Not so good or could have been better
1. It focus breathes at close focusing distance. Compared to my Nikon 70-200 F4 and the difference is quite obvious. At shortest focus distance this lens is about 145-160 mm when zoomed in to 200 mm and not a true 200 mm. This is quite well known for such lenses. The Nikon 2.8 is worse at 135 mm. If you intend to shoot objects closes to you, this can be a problem. The Canon is best in this regard and so is the Nikon 70-200 F4. At longer distances the breathing doe snot matter like in sports and concerts.
2. Does not have focus limiter switch - it is handy for shooting distance objects and the AF will not pick up anything close that comes in the way. This is a deal breaker for serious pro sports shooters
In my limited experience, I liked it and it is very sharp. If you shoot as a professional and make money, I'd say go for the Nikon 2.8 as you will never regret buying the Nikon and your work will pay for it in a couple of shoots. If it is for hobby, get the Tamron. It is best value for money 70-200 2.8 that is not just about value, but offers good performance.
Here's one shot I kept as others were just shooting random objects.
This one is almost at 100 % zoom at 200 mm F2.8

Almost 100% crop with the Tamron 70-200 2.8 VC by
Anirban Acharya, on Flickr