Do you support FUSE (filesystem in userspace) on OpenVZ VPS?

Yes, and FUSE can be enabled on request, please create a support ticket if you would like us to add FUSE to your VPS.

After FUSE has been enabled, you may follow the "Mounting filesystem" section of the guide here http://openvz.org/FUSE#Mounting_filesystem to mount a FUSE file system.