The phrase "gave the run around" is often used to describe someone who purposely avoids answering a question or providing a straight answer. Antonyms for this phrase could include words like honesty, transparency, or straightforwardness. These words convey a sense of openness and truthfulness, rather than the evasiveness implied by "gave the run around." Other antonyms might include reliability, dependability, or accountability, all of which suggest that one is willing to take responsibility for their actions and be held accountable for any mistakes or shortcomings. Ultimately, when faced with someone who is giving you the run around, it's better to seek out those who embody these positive qualities for a more productive and effective interaction.