Is it possible to run Eclim daemon on the remote server or share a volume to allow communication between the Vim container and the Eclipse + Eclim daemon?
I have a tiny Docker image with my Vim based development environment and I don't want to bloat it with Eclipse, but it will be nice to have Eclim features available.
No this isn't currently possible.
As the project owner, Eric Van Dewoestine, said in response to your question in the mailing list.
Eclim doesn't currently support having the daemon running on a different machine/vm than the client (vim).