This is in fact the title of a book in the Oxford Reading Tree (Floppy is a dog). But while the floppy disk itself is all but obsolete, it is still associated with the act of saving by its use as an icon.
Today I went to a course on our TopDesk incident management software, and among a battery of icons on the screen was a picture of a floppy disk one had to click in order to save changes. I wonder whether this association of imagery will long outlive the floppy disk itself – rather as old-fashioned phones with a dial and a big handset still symbolise ‘telephone’, and the warning for an unguarded level crossing is a sign depicting a steam train?