I absolutely wreck Darius in lane with Rengar, but with much practice and experience as I used to get destroyed by him.
I always start off with 5 pots and Cloth armor for more sustain against him, and spend the entire time harassing him, feinting (so that he prematurely uses his spin attack or his pull) then hitting him with a quick Bola or Q before running back again. Once you reach lvl 6, Darius will usually have a solid half of his hp left. Build up your Fero to 3, feint until he uses his grab/cyclone, then Bola > Roar > and Double Q for that quick burst. Quickly ignite him and pop your ulti, wait your ferocity to max out again and leap at him with another Double Q and he is guaranteed dead.
You'll shut him down for about the rest of the entire laning phase with that.