The phrase "gave eye" is an idiomatic expression meaning to pay attention or to observe closely. Some synonyms for this phrase include: kept a watchful eye, monitored closely, scrutinized, observed intently, paid heed, kept an eye on, watched closely, and followed with interest. These synonyms convey a similar message and urge the listener or reader to take note of something important. It is essential to use appropriate and clear language to convey the desired meaning effectively. Understanding and utilizing synonyms can help writers to expand their vocabulary and add diversity to their work.