I have actually tried it out. I went 10/1/9. I say it worked out pretty well. The mana and health regen help alot espically early game. I ended the game with 2 timats a brutlizer and as boots just to get my pssive proc a lttile more. good strat to once you get 2 timats ( works best with 3) is to hit minons on the passive proc due to the fact it has a increased dmg scale, and the splash dmg is off of that. Its quite deadly because the enemy usually doesnt notice thathalf their health is gone from a few passive proc shots into creep waves and a few q spams. it works pretty damn well :)
The battleroom is ready. Liqur's hands are steady. The enemy is deadly.

Ok I went ahead and made a guide based on this build, reworked a little but here it is. Tell me what you think!
http://www.mobafire.com/league-of-legends/build/caitlyn-the-rangeless-mistress-updated-1-12-11-48070#lastcomment
http://www.mobafire.com/league-of-legends/build/caitlyn-the-rangeless-mistress-updated-1-12-11-48070#lastcomment
The battleroom is ready. Liqur's hands are steady. The enemy is deadly.

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Apparently you're supposed to build 3 tiamats, CDR boots, yo-yo's ghostblade, and Sword of the Divine. The 3 tiamats gives you 99% splash and since the splash ignores armor, it synergizes with headshot passive and her ulti very well.
Anyone want to be brave and test this out?