It would definitely function, and there are some "hidden" benefits - the move speed and "ghost" would help him get on and stick to targets, which he struggles with, his w can crit for some unexpectedly high burst, and the attack-speed would help him get his passive off faster and help him apply it to other targets more easily.
But while attack-speed is good on him, it's not as good as ad, hp, armor, mr, or cdr, and while this would make his dueling hilarious it would reduce his 1v2 power, which any good Darius knows is important. If you don't rush an item that gives hp, it's a lot harder to outplay well played jungle ganks until you get one, and Darius is a huge gank target.
Plus it gives no cdr, and against people that know how to play around his ranges his Q cooldown is a huge, huge deal.
So, verdict? Fun, hilarious, and potentially effective, bit sadly not as strong as meta builds. Maybe better if the jungle meta slows down, though it would still be a risky pick.