It’s not my first thought – maybe part of that is because there are several places (spelled differently, but said the same) where I live, and partly because Chester is fairly popular too, so it feels like it fits into that category.
However, if I was scrutinizing the name, I would come onto that as a reason against using it?
It is a joke I can see teens making too but is it one you can ‘sense check’ with any of your peers - like just mention the name, and see if they bring it up?