I've had a quick go at this, and Compiz doesn't appear to like LXDE's use of openbox .. not xfwm4 (if I switch to that.
in both caases I loose Window decoration as soon as compiz starts .. using compiz's windows decorator makes no difference.
I suppose you could compile emerald for 12.04 .. i've read that works inn Lubuntu, so *should* work in Peppermint.
But I'm with SeZo .. Compiz is a gimmick .. great for making Windows users go "Awwww" and "Ahhhh", but it soon wears thin.
I can probably figure it out for you if you really want ? .. other than the lost titlebars I've had it working, cube, wobbly windows, and all.
BTW, you'd want more than just the "compiz" package if you want to be able to configure compiz .. you' certainly want CCSM (compizconfig-settings-manager).
you'd probably want:-compiz
And life would be a lot easier with:fusion-icon
as well .. particularly if you need to switch between window managers because the effin window decorations are missing
:-Compiz can be made to work in Peppermint 4http://peppermintos.net/viewtopic.php?p=42113#p42113