progress update:
when litespeed running on port 2080, no problem at all;
when running on port 80, looks able to reproduce the issue easily, especially on chrome.
it should be a different issue with opencart one which mentioned in this thread.
We're still investigating it.
Thanks Mike to provide us the credentials.
p.s., suspect such request
/css.php?css=dark_azucloud,facebook,login_bar,node_category,node_forum,node_list,sidebar_share_page&style=2&dir=LTR&d=1377079296
cause the issue.
can you configure XenForo to disable this feature? let litespeed serve the inidividual .css file directly. see if the issue gone after this change. if this is true, it can narrow the scope greatly.