Things I noticed from the Zoe champion teaser
She eats summoner spells and item effects that the enemy uses (they are left on the ground as orbs), this is possibly her passive
Her q is very likely the hand ball, one cast backwards then cast it forwards. Off the top of my head theory crafting is this might do more damage the farther back you initially cast it. It also could have a slow on the Taric, though the camera changes so its hard to tell.
W is some sort of auto attack enhancement, you auto and then a energy bolt fires out. It starts with 3 stacks and gains more upon using a summoner. It also looks like she can auto while moving, possibly only during w cast.
E is the bubble that leaves behind a drowsy sphere. The sleep effect seems to last pretty long.
R is the dash forward, taunt, go back to your original position. Hard to tell from the video how much control you have over this, but it looks like its a two part cast with a possible forced return if you don't recast.
She seems like she is going to be pretty flexible in match ups, hopefully she is reasonably balanced on release.