Hey Jeff,
Right now (as of the time I'm writing this -- version 4.0.x), the TF Library <-> TurboFloat Server only communicates over raw TCP (basically binary blobs over TCP).
In the next feature version (4.1.x) we've added the ability for the TF Library and TFS to talk over HTTPS (meaning you can put HTTPS servers and proxies in front of the TFS).
And shortly after 4.1.x is released we're also releasing a version of the TFS hosted on our servers that is high speed, high availability, and available to you and your customers with the click of a button (no need for them to install it on their hardware).