[foxyfred]

OK, managed to fix this by manually editing the Litespeed listener configuration. I used the ciphers recommended for fixing the BEAST vulnerability in Apache:

<listener>
<!-- ... -->
      <ciphers>ECDHE-RSA-AES256-SHA384:AES256-SHA256:RC4:HIGH:!MD5:!aNULL:!EDH:!AESGCM:!SSLV2:!eNULL</ciphers>
</listener>

The web interface seems useless in this case. Hope this helps someone figure this out in the future!