One can only minimize the privacy related ill effects, not eliminate them completely. To start with, see my recommendations on using Facebook from a browser (and never an app) in another comment on this post. [1]
The issue with technical interventions is that you're still allowing FB to collect information on you via other means via their TOS. I haven't read the latest TOS but at the time I did, they could trade your data with your bank because you've allowed that.