But lighttpd refuses to start with config that I'd need in order to
make web.py work.

I currently have this in lighttpd's conf:
fastcgi.server = (
    "code.py" =>
    ((
        "socket" => "/tmp/fastcgi.sock",
        "bin-path" => "/srv/http/code.py",
        "max-procs" => 1,
        "check-local" => "disable"
    )),

    ".php" =>
    ( "localhost" =>
        (
        "socket" => "/var/run/lighttpd/php-fastcgi.socket",
        "bin-path" => "/usr/bin/php-cgi"
        )
    )
)

And code.py is the hello world from web.py's frontpage.

Lighttpd's error is:
2009-11-20 17:34:55: (log.c.166) server started
2009-11-20 17:34:55: (mod_fastcgi.c.1104) the fastcgi-backend /srv/
http/code.py failed to start:
2009-11-20 17:34:55: (mod_fastcgi.c.1108) child exited with status 8 /
srv/http/code.py
2009-11-20 17:34:55: (mod_fastcgi.c.1111) If you're trying to run your
app as a FastCGI backend, make sure you're usi$
If this is PHP on Gentoo, add 'fastcgi' to the USE flags.
2009-11-20 17:34:55: (mod_fastcgi.c.1399) [ERROR]: spawning fcgi
failed.
2009-11-20 17:34:55: (server.c.931) Configuration of plugins failed.
Going down.

I had error 11 before, but I did `chmod +x /srv/http/code.py` and now
I got to 8, as you can see upper.

Any ideas how to make it runnin'?