Cut is absolutely most important, because without the best cut quality, the diamond won't sparkle, no matter how high the color or clarity are. Clarity is not graded from the side or face down, just from straight on. However, in terms of "eye cleanliness" it's very important to view them from the sides. You won't be seeing it face down, and face down they're like glass, so that's not a fair judge.
I personally don't think it's necessary for a VVS clarity, however some folks do, and in some cultures it's important as well. So if the OP wants a high clarity stone, I am not going to judge that.