Now it seems that with the latest version (3.1.3) it will run on handsets, as long as your device needs to support MIDP 2.0 and CLDC 1.1. The gentlman behind this effort is Jaabaa, who posted about it on the EVE Forum wayback in June 2007, and who's latest update (see the edit note) is earlier this March.
The video below, though dated back to July of 2007, still gives us a good idea of what this mobile application looks like.
So it's not the full EVE Mobile edition, and you can't actually change or set skill training. But we're getting closer people. I guess you could call it EveMon Mobile Edition!
If anyone from CCP is reading this, please, oh please make this application official and allow us to change our skills in training. Once we've got the door open for skills, then we can add other mobile features (access to station facilities, chatting, monitor markets, escrows, etc. - hell, even voice chat now that EVE Voice is out; ok that may be pushing it!).
If anyone knows about a more recent video, please let us know.
For those that have handsets that comply to the spec requests, here's where you can download the application.