I checked your page in chrome (v55.0.2883.95 (64-bit) on MacOS 10.12.2) and I can see the tab titles and the tabs seem to be working OK.
I have noticed that the tabby trigger script in your page source is not appearing as I would expect – it shows as
<script type="text/rocketscript" data-rocketoptimized="true">jQuery(document).ready(function($) { RESPONSIVEUI.responsiveTabs(); })</script>
This suggests that cloudflare has diddled with the scripts in an attempt to optimise them which may be causing your issue, so you may want to try excluding the scripts from being messed about with by cloudflare.
Alternatively if there is a conflict with another script on the page which results in the tabby script not executing on your version of chrome that could cause the issue you have described.
To check whether this is the case, deactivate all other plugins and check whether the tabs appear then. If so reactivate the plugins one by one until the issue reoccurs to identify which plugin has the conflicting script.