Compundeyes raises the accuracy of moves by a certain amount.Which is why Thunder and Compoundeyes Galvantula was so popular in B/W.
Do I restart Skyrim? I don't know. I'm sort of enjoying my Vampiric Vampire Hunter, but I'd like to try a Conjuration build. But it'd take a while to get my gear all set up. Plus Dagger's are only good in Stealth. Might just play Minecraft.