I just spotted this blog on Sciencewomen that discusses the job of a mentor and being a mentee. I like this passage, paraphrased from a talk SciWo attended, in particular:
"Dr. Cassell also talked about the characteristics of a good mentor, qualities that included accessibility, empathy, honesty, savvy, humility (most important), consistency, open-mindedness, and understanding of the current/new research/academic/professional environment. Mentors should be providing networking opportunities, offering moral support, and encouraging creative thinking. In turn, good mentees are proactive, probing, gracious, and humble in accepting critical feedback.
Of course, you are not going to meet all of your mentoring needs in a single relationship, so Cassell suggests to never let go of old mentors, establish both official and informal mentors and also find a set of confidants. She urges mentees to keep meetings professional."
I'll let that speak for itself.