No matter how strong the resume is I always appreciate the interests section. It adds depth to the person you're interviewing and most importantly the chance to connect over something personal.
I think there are 3 possible reactions to including it:
1. They know of/are in The Club and it will be a huge plus (unlikely given tiny membership)
2. They have no idea what it is and will ignore
3. They'll think I'm a pompous d-bag for including such a thing.
I'm young and just joined a private social club. The club is over 160 years old and has a lot of history and deep roots in my city. Should I include "Member of X Club" in my resume? If so, should I create it's own "Affiliations" subsection at the bottom of the page? Would it look strange given that it'd be the only affiliation in that section since I'm not a member of any professional organizations yet?