I stop by this particular Five Guys all the time. As soon as I tell them I have a gluten allergy they usually seem to be familiar. You can ask them to change gloves. NO gf buns, however, fries are gluten free! I usually get my burger wrapped in lettuce. Only complaint is that fries can become soggy fairly quickly. Still, overall this five guys is a great option to grab a bite to eat!
My daughter has celiac. She ordered the lettuce wrapped burger and fries. I told them allergy, and asked they be bagged separate. The line was mostly ok with some minor issues but they did change gloves. The problem is the lady doing the fries kept going and touching and sweeping the counter with her hands, moving the sandwich wrappers along the line, and going back to the fries. She did change gloves once but not before potentially contaminating the fryer/fries. I would not bring my celiac kiddo here again.