Moodbile is a collaborative effort to create a new web app for Moodle in order for any mobile device to access your site. It involves a server-side installation, much like MLE and is currently in development (not ready for end user deployment unless you have the technical know how to get it up and running).
You can check out all the progress that this project is making at http://code.google.com/p/moodbile/.
Moodbile will reportedly create a very simple navigation process for gaining access to course, support forums and online text and will ultimately (according to the Moodbile.org site) provide and maintain webservices for Moodle.org.
When it is ready I’ll be sure to check it out thoroughly. In the meantime, here’s a sneak peek of the user interface: