Hmmmm. Not sure about Wriggle's Lantern, unless you want to ward a bunch. I haven't played Irelia, but with a hardcore survival item like Randuin's Omen in there, I don't know if a supporty/survival item is a good idea.

Again, I haven't even played Irelia, but I imagine Bloodthirster would be a good replacement for Wriggle's Lantern, unless you have some reasoning I don't get, or you want to jungle or something. 100AD would make much better use of the crit chance bonuses, and you still get the lifesteal. You've got plenty of armor already.

The other thing is stacking GP10... I do this if I have a rough start sometimes, and I hear it's good if you're intentionally feeding your lane mate to the total exclusion of yourself, but most games I'd play an assassin with just one GP10 at most. (I don't play assassins much, but I play Jax lately and he feels assassin-ish to me.)

Wish I could speak with more certainty, but that's kind of how I'd expect it to go. It looks like a somewhat sturdy char, and I imagine the suggested change would help the DPS a lot. I forget if I've unlocked Irelia or not... if so, I'll try sometime and get back to you, if I remember. I think you could use more MRes, too, but I don't have a quick fix off the top of my head.