BLITZCLICK SOFTWARE MAHERSAMI, ZOIDBERG, thank you for your suggestion!
Starting from Version 2.8, Savvy Clipboard is available as a menubar item, thus saving your screen space. You can get the list of Savvy Clipboard items by clicking that small icon. (To activate this feature, use the program's "Preferences" dialog.)
At the same time, you can hide the floating window from the screen (by pressing Ctrl+0 or a custom shortcut that you set for this function).
(Version 2.8.2)