Sorry to open this rather old thread, but I have the same issue.
Just uploaded a new website using meetgavern as template.
On my development environment everthing worked fine: css cache and css compress created a directory gk in directory cache.
but now it is on production the gk directory is NOT created?
the cache directory is fully writable (755) > also checked in Joomla
When I manually create the gk directory it directly fills up with the templates comressed cache files.
When I clean the cache from the back-end (need to do that sometimes) the directory gk is removed and I have to recreate manually again

I have different sites with this hosting provider which also use the meetgavern theme but do not have this issue... so I really do not know where to look?
Are there any requirements that are needed to use the cache/compress functionality (e.g. php modules) that I am missing?