New Facebook app activates GPS when launched -- how to disable?

This started happening with the latest Facebook app update. I don't want to disable my GPS outright -- I like that it comes up automatically when I call Google Maps. (Which usually is in a "where the hell am I" situation.) But I see no valid reason to allow Facebook to query where I am all the time. Facebook's settings don't have an option to disable this. Since my phone (Milestone I) is rooted (but still with Motorola's official 2.2.1 OS), I wonder if there's some app through which I could enable/disable GPS usage per app. Is there such a thing? (If there is, I'd like to disable it in the browser too.)