It's my understanding that a fraternity/sorority member of a National social GLO is not allowed to join any other social Greek organization, no matter how long ago they pledged their first group. It would be the equivalent of me being initiated into Delta Zeta, and then, 6 years out of college, trying to become an alumnae initiate of Alpha Delta Pi. It doesn't matter if you are an undergrad, grad student, or alumnus -- it's still not allowed under National GLO policies.
However, if I decided to join the Junior League in my city, I could do that with no problem. Although Junior League is a social and service organization, it has no Greek affiliation, therefore it is not considered a "conflict of interests."
I hope this makes sense!