I cannot tune out noise, especially people talking. I have industrial strength earplugs and earmuffs as well. I never go anywhere without earplugs. I wear them a lot. On the bus, in exams, when working in the library. This might not work well for an ordinary work situation. In your case, I would either try to avoid being there, or I would join the conversation, use it as an opportunity to observe and try to understand people. However, this is not conducive to relaxation or enjoying lunch, if you're talking about a lunchroom at work setting. I feel your pain.