Note that the UI elements that are not drawn are there, I can click on them, so they exist. The other strange thing is that the not-drawn part changes each time I open the page in a new browser window.
I am Using Unity 5.1.0f3 on Mac os X Yosemite, latest version, with Safari. Same problem happens with Firefox.
The part that is not drawn correctly is just a scroll view, with a chid panel containing labels (around 60 labels). The scene is quite simple, very low-poly. I don’t see where I could have exceeded the vertex count limit … but thanks for the hint.
For those interested, I was able to identify what is causing the issue and how to overcome it. I noticed that, when the camera viewport extends behind the UI (the list on the left), then rendering is correct. If the camera viewport is instead restricted to the remaining part of the window, then the rendering issue arises. So, I created a second camera, with a viewport exactly covering the list, and pointing to nowhere (so it basically renders a white box behind the UI).