When you configure (a recent) Libreoffice's impress to show on secondary monitor, it should display the presentation on it and the controls (if you have the oracle presenter console, which at least Debian ships by default along openoffice-impress) on the first monitor, right?
Well, if your libreoffice impress window is in the primary monitor, at least for me, the answer is: wrong!
The console shows up on the primary display, but nothing shows on the secondary! If you click reverse (to swap monitor functions), it does what it's supposed to do, but if you click again, the situation repeats!
The "fix" seems to be to drag impress window to secondary display before running the presentation (by pressing F5). Ridiculous, right?
Cheer up!