To take preemptive steps to stay out of trouble with others, especially in relationships with family members or friends, and at work with co-workers or supervisor(s). A clean version of cover your ass and similar terms.
"I am extra careful to not use profanities around my co-workers, and I am especially meticulous in being thorough with my projects at work. Since the supervisor is such a jerk, I always tell my co-workers to cover your hindquarter."
