NOTE: I spoke with the manager at my local Raising Cane's on 10-07-15, and they are NO LONGER GLUTEN FREE. At all.
The post below was originally posted in April 2014, when I had spoken with the manager and was told they had a dedicated fryer for their fries and naked fingers to keep them gluten free. A friend recently told me that was no longer the case, so I talked with the manager yesterday who verified they indeed fry everything together now.
I immediately removed the post, but then I realized how many hits it had gotten since being published, and decided to re-publish it to make sure that people with Celiac Disease know NOT TO EAT AT CANE'S.
Please spread the word. I am sure there is a possibility that other Cane's may still have dedicated fryers, but YMMV, and if they tell you they do, the only responsible thing to do is ask each and every time you dine there to make sure they continue the practice.