Version: For all MeasureSquare 8 Desktop versions
Below is an example of saving a project to the cloud.
Step 1. File->(Cloud Projects on right-hand side)->(Downward pointing black arrow)->Import Project->(Select this project if that's the one you want to save)
Step 2. Once you have imported the project, it will appear on the list of Cloud Projects. You can select the project from the list, and then click the yellow & gray rotating arrows button on the top left-hand side to Sync to the cloud.