Same issue. Also the show/hide buttons for action bars are only visible/interactive when the TukUI menu is open. When I close the menu, they disappear. I screencapped this and can put it on YouTube to show if needed. Tested with only TukUI and TukUI AddOnSkins enabled.
So, I've noticed that new characters made after installing tukui work perfectly fine--the chat sets up properly, anchors to the left and right boxes, and even the show/hide buttons for action bars displays. I can't seem to fix it for characters made before installing tukui, even after resetting all of its settings.
Ive tried deleting the WTF folders related to old characters and this also did not fix.