I suddenly realized that despite feeling like I kind of suck at Jungle Yi, I've got like an 8:1 win-loss ratio going on for him. And I already got my first pentakill with him.
I remember some people talking about how they do jungle Yi, what do you guys do with him? I've been going smite/flash but I tried smite/TP and liked it a lot. I farm hard with him so TP is good for making things happen. I feel like his countergank is a lot better than his gank even past level 6. Without at least red buff or cutlass he has no cc and if the enemy's running away it's pretty tough to just AA him down before he gets away, but if they're already committed a teleporting Yi can easily turn the gank around.
Plus it makes for better split pushing, though I don't splitpush a whole lot. I'm still pre-30 so chain-CC and such isn't as much of a problem and while Yi's pretty terrible in teamfights that mostly applies to decent teams. Like Kat and Trynd and the other pubstompers Yi's a monster in an uncoordinated teamfight. Run around the back while the front line is occupied or just charge straight through if they're dumb enough and the squishies will be dead before the tank realizes what's going on.
Given that, I feel like when I can get away with it, teamfighting is a more substantial contribution than split pushing. Split pushing is kind of a "I can't really teamfight so I'd better make something happen" thing. It apparently works, since I've only lost one game as Jungle Yi and it was my very first one.