I’ve had some problems too, specifically in the post editor.
So far I’ve noticed
Publish > Status > Edit – clicking link does nothing
Publish > Visibility > Edit – clicking link causes page jump to lower down the page
Publish > Publish > Edit – clicking link does nothing
Tags – won’t add tags
Featured image > Set featured image – link directs to multiple file uploader
I disabled all plugins, and that made no difference to any of the behaviours above.
All issues as described in visual and text editor
All issues as described on Firefox, Safari, Chrome, Ice Dragon