From what I gather, Rho Chi chapters are generally pretty light on their activities. As a small organization, they don't have a lot of manpower to handle large community-oriented volunteering. Compounding this is the fact that many of their members are already active in other organizations, so that further siphons the membership base available to do work.
At our school, Rho Chi focuses primarily on tutoring P1 students before some of their exams. A few of us have also helped proctor sterile compounding labs, and our student members (in addition to PLS members) have the option of being part of the interview panels as part of the admissions process for the incoming pharmacy class. In general, though, we're a pretty quiet organization. There are a few ideas that I have in mind for a Rho Chi chapter, but most of the heavy-duty volunteer activities in our school are handled by SSHP, SNPhA, and APhA.
As for the question of membership: Personally, I do not see a drawback towards joining Rho Chi. I view it as a feather to add to your cap. Although a well-rounded resume will require more than just Rho Chi membership, I think that having Rho Chi would nicely accentuate the academic side of a resume. This is not to say that students lacking Rho Chi membership lack academic acumen; rather, having Rho Chi on your resume increases the chance of this being noticed.
Unless you have an intense disdain for some aspect of your Rho Chi chapter, I would join simply because it isn't going to harm your resume. And, as J DUB and PharMed have alluded to, you may gain some leadership experience depending on how much work you want to put into it.
--Garfield3d