Ate at a lot on Tengu Bar locations, including this one. It's an Izakaya where you order via your phone. Easy to get yakitori with just salt, cucumbers, edamame, sashimi, avocados, drinks, etc. There is an allergen menu on the ordering site that identifies items without wheat, and I avoided fries, since I'm pretty sure they would have been in the frier with breaded foods.
There probably is some risk of cross contamination, but I had no issues, and have found it to be one of the easier food "go tos" during our stay Japan. I'm celiac, and pretty sensitive. However, I also acknowledge that I take some risks when traveling that I won't take in my daily life. It was a good choice for me, but also kinda "eat at your own risk".
— Somewhat
— Most/All
— Excellent