Oh wow, as soon as I did this Google Apps installed, and they're on my phone just fine. I wrongfully assumed that ClockworkMod would mount /system automatically.
However... now I can't install anything from Google Play due to error 492. I already updated Android Market to Play Store manually and it didn't work. I erased Google Service Framework, Market Installer and Google Play data, and now I can't even connect to the Play Store.
What's happening now?