The Manager Tools and Career Tools series of podcasts are industry-oriented, but I find great value in them as I retool for an academic career. I was never a manager in my industry career, but the communication skills and practical understanding of organizations imparted are gold.
For example, my adviser does regular 1:1s with his students and places a big emphasis on giving and receiving feedback, both MT fundamentals. Some other concepts apply less directly--for example, delegation of tasks as project leader where no one is my actual "direct report". Academic politics differ from industry politics, but fundamental principles (relationship power!) carry over.
It makes me wonder if there's some podcast series or (only slightly less desirable) Web site to help academics improve communications and ability to navigate organizational politics. I'll see what I find with obvious Google searches but I wonder if anyone out there has some favorites to recommend.