Mozy App for iPad and iPhone does not allow access to previous versions of a document. To view or download previous versions, users must access using Mozy software on a computer. In response to my inquiry today, Mozy Support will ask Mozy Development Team to add versioning feature to Mozy's App for iPhone/Ipad. Mozy Support also provided following link for a tutorial on how the versioning feature works using a computer: http://support.mozy.com/articles/en_US/FAQ/Create-Web-Restore-MozyHome
That's some great feedback! The ability to restore earlier versions of files from the iOS app would definitely be a plus. In fact, you may submit your idea for review by Product Management, by creating a post on the Idea Exchange.
We look forward to more ideas and feature requests.