The term 'LIKE A PRIVATE' can be summarized by two crossword solutions: ENLISTED (8 letters) and FOLLOWINGORDERS (15 letters). Enlisted is a term used to describe someone who has joined the military, while following orders refers to the act of obeying instructions given by a superior. Together, these two terms suggest that someone is behaving like a private in the military, which means they are following orders and adhering to the chain of command.