Now, I'm a bit confused. I've set it up. The synch seems to work on new images from iPhone and I can select from my existing photo roll on the iPhone. I then did two edits on one of the latter already synced images on the iPhone. I hit sync with each. Trying to get back to the original image I inadvertently seem to have synced on a third edit. I'm not sure I ever got back to the original (no clear undos in LR Mobile). But when I checked LR on desktop and clicked on the image initially I got the third edit which blinkered out and was replaced by the original photo. None of the edits showed up on the desktop. Either the program is still buggy or there are limitations on (a) saving both original and edits, much less multiple edits, on the iPhone and (b) syncing edits back to the desktop.
I think LR Mobile needs better documentation, instructions, or what have you.
Haven't tried on an iPad yet. I've got another question on that which I'll raise in a separate question about controlling syncing (orums.adobe.com/message/6628267#6628267).