The phrase "going Palin"refers to quitting. The term is rooted in former VP candidate Sarah Palin's decision to quit her position as governor of Alaska despite only serving for a short period of time. The phrase was coined by the Political Baron blog.
Jim are you still smoking. No, I'm going Palin on smoking
Other examples: I'm gonna Palin my job. I know it's hard, don't go Sarah Palin on me now. No one likes a quitter.