They can accommodate gluten free, but no guarantees for no cross contamination. The best chance you have is on Tuesday as they clean and refresh the oils on Monday.
There is no gluten-free menu here, but the server was able to direct me to the gluten-free items easily. I had a blackened tuna salad that was delicious. The piece of tuna was actually quite large too. She also suggested a warm gluten-free brownie served with vanilla ice cream and chocolate sauce for dessert. Score! This restaurant is not fancy, but the food was good and the server was friendly.