The phrase "look off" typically means to avert one's gaze or to stare into the distance. However, there are many synonyms for this phrase that can be used to convey similar meanings. Some of these synonyms include glance away, turn one's head, avert eye contact, stare blankly, and daydream. Additionally, some other phrases that could be used in place of "look off" might include gazing into the distance, staring off into space, or simply looking away. Depending on the context in which the phrase is used, there are many different words and phrases that can be used to convey the same basic idea.