The phrase "gave lip" is an idiomatic expression used to describe someone talking back or being disrespectful. There are various synonyms that can be used to convey a similar meaning, such as mouthing off, sass, backtalk, impudence, cheek, insolence, impertinence, impoliteness, disrespect, and defiance. These words all imply a lack of respect or obedience, and a tendency to challenge authority or norms. Using these synonyms can help to add variety and depth to one's language, and can be particularly useful when writing fiction or dialogue-heavy content.