Got the new app update for OneDrive on my iPhone and it seems pretty straight forward a very intuitive to use from the mobile device. I have iPhone 5s and love it’s small size, that didn’t seem to hinder usability of the app at all.
Once the app was installed, I logged in with my organization email followed by the username and password and then VOILA I was in.
You could select a file and see a list of options.
Taking this mobile thing pretty seriously, I am!
Have fun with the all new and cool OneDrive and SharePoint folks.