Jennifer makes an important point - if you include ANYTHING in your C.V. (Curriculum vita or resume), it should be there for a reason.
I've seen some resumes and C.V.s that go back 20 and 30 years, describing part-time jobs as newsboys and shoe shine boys when they were ten and twelve years old. That might be fine if we were writing a biography of a Horatio Alger type hero, but these were for positions as inspectors and technicians.
I realize some cultures still adhere to the original C.V. concept of cataloging one's entire life, but, if the candidates come from that culture or intend to work in such culture, they should also include an abbreviated "cheat sheet" which highlights the PERTINENT skills and experience for the position to which they are applying. This should provide a "road map" through the C.V. so the reader will not get lost in the backroads of minutiae which can obscure the real goal of the application - GET AN INTERVIEW AND GET HIRED!.
The first and foremost consideration when preparing an application which includes a resume or C.V. should be the readers, especially the ones who act as gatekeepers, and the ones who actually make the decision to call the candidate in for an interview. In that light, folks who use C.V.s which contain EVERYTHING should also include a cover letter pointing out how various items in that C.V. are pertinent to the position for which the candidate is applying, and simply remain silent on the non-pertinent ones.
To the topic of including a reference to the Cove membership and activity in your C.V.:
Let's see some examples of what folks might write about their relationship with the Cove which would pique the interest of a reader unfamiliar with the Cove.