The actual task information is stored in your home directory. I use it on a Linode and stay connected all day (cloud enough for me :) ) I've seen other people use it with Dropbox, which would fulfill the syncing requirement.

There's a guy on the forums that developed a RoR frontend for it too: https://github.com/theunraveler/taskwarrior-web

I'm using Dropbox. And then,

$ task config data.location /home/dir/Dropbox/tasks