Liz Danzico turned a malapropism into a useful word. Mentornship, n.
Internship for the bright or advanced individual under guidance of a more senior practitioner. No making copies or coffee.
I love this idea, although I've never been a believer in interns fetching coffee or doing the shopping at Staples. The bright-but-junior person sees obvious educational benefits from the arrangement but so does the senior practitioner; they get high quality work and access to a sharp beginner's mind. With the right people, the mentornship would likely morph into a collaboration before too long.
Update: Mentornship technically isn't a malapropism, it's a portmanteau word. (thx, dave)