Are there any problems with running my computer vertically in the dock?
No, in fact we've noticed some positive side-effects to running the computer closed, vertically. The computer will run cooler and faster since it only has to drive one external display, as opposed to running it open with an internal and external display. We spent over a year testing the docking system in every conceivable circumstance and observed no performance decrease even under hour long CPU load tests. We've heard some claims that the CPU runs cooler in the vertical position, but we have yet to document any appreciable difference. The case, however does tend to stay noticeably cooler since more surface area is exposed to the air.