The phrase "saw back and forth" can be said in a variety of different ways to add some variety to your writing or conversation. A few possible synonyms include "rocked", "swayed", "oscillated" and "fluctuated." These words can all be used to describe a back-and-forth motion, whether it's the movement of a saw through wood or the motion of a person or object. Other possibilities might include terms like "shook," "wavered," or "vibrated," depending on the context. By using synonyms for common phrases like "saw back and forth," you can add depth and nuance to your writing while still maintaining clear communication.