9 years ago
I know this thread is old (so, sorry for the necro-posting), but this still shows up as one of the first search results so I wanted to add this for the future visitors:
You can now right-click the default Cinnamon Menu icon in the panel > Configure > check "Use a custom icon and label" > fill in "Text" or leave it blank based off your preference.
This saves automatically.
As long as its an option that is not default.
Implemented as an applet
Thanks a lot for this hint!
There's an applet to do this - http://cinnamon-spices.linuxmint.com/applets/view/16