The phrase "hung onto hat" is synonymous with a sense of holding tightly onto something in order to protect and maintain it. Some other synonyms for this could include clutching, grasping, gripping, clasping, or clinging to a possession or idea. This could also imply an element of determination or stubbornness, as someone who is holding onto their hat might be determined to keep it even in the face of adversity. Additionally, the phrase could be used to indicate a need for stability or to maintain one's composure in a difficult situation. Ultimately, "hung onto hat" is a versatile phrase that implies a strong sense of determination, perseverance, and resilience.