I used to be an early morning cleaner for a school, and my stutter didn't bother anyone. I got to listen to music and podcasts while I worked. No one really asked about my stutter, but if it came up I'd explain. I think because we had to start working at 5:00am and be packed up and out by 8:00am, we didn't have time to talk or chat too much. It was a good job, but not my dream job.