You don't get mobile notifications this way, so I just get my notifications via email instead. And I uploaded my public PGP key to Facebook, so the emails they send me are encrypted. Getting notifications via email also means that Facebook doesn't even know if or when I've read a particular notification.
To read those encrypted emails on my phone I use K-9 Mail with OpenKeyChain. My Yubikey Neo acts like a smart card reader to my phone over NFC so I don't need to give my phone direct access to my secret PGP key.
This setup works for me because I try to limit my Facebook usage, keep my number of "friends" on there to a minimum, and lie to Facebook whenever they want me to explicitly supply information.