I had Libre Office 3.6.0 (I think), and the Quickstarter worked perfectly.
I uninstalled it, and installed Libre Office 3.6.4.
Now, Quickstart does not work. If I start Libre Office with the following command:
libreoffice3.6 --quickstart
Libre Office starts normally, ignoring the Quickstart option.
There is no option Tools > Options > Memory > Enable system tray Quickstarter.
I cannot upload a screen-shot, but you can see it here:
I am using Linux Ubuntu 12.04 fully updated.