I also had this problem in ie) and 10. No text and content didn’t slide out.
I made a solution even though you have to hack the plugin a bit, which isn’t good praxis cause it will be overwritten next time you update the plugin. Anyway, here’s how I did it.
In the file tab_slide.js row 144 I added:
jQuery(settings.toggleEl).append(titleWrapDiv);
(In the end of the “if msie statement”)
In the file ts.css row 106 I removed the styles in .newline
That fixed it in my case. On Wp 4.2
