I don't know why I've never thought of this before, so I thought I'd share! A student just asked if she could save her work to a folder that she would then be able to access from anywhere on campus, and I instinctively told her no. Then I realized that I use dropbox.com for just that thing all the time, so I asked if she would be interested in that. The student must be willing to set up a username and password, but it's a free service. The website makes it appear that you need to download the program onto the computer, but that is not necessary. Here's a video for setting up dropbox.com without the download.
Once they've set up a dropbox, they can go to dropbox.com from any computer, log in, and access whatever documents they've uploaded.