Green Unicorn is a "WSGI HTTP Server for UNIX". It is available via PyPI and can be installed using pip.

TiddlyWeb can be run with gunicorn using apache.py as an application loader. To run it at http://0.0.0.0:8080/ in a basic fashion do:
$ gunicorn -p gunicorn.pid --bind=0.0.0.0:8080 apache:application

The apache.py file needs to be in the current directory and that current directory should be an instance.

If you change code you need to tell gunicorn about it. You can do that with:
kill -1 `cat gunicorn.pid`