I've gone here twice in the 3 days since I moved to Tempe and am extremely grateful to have found this gem (thanks Yelp!). I eat between 5-10 sandwiches a week and have no doubt that I will be getting several of those from Dilly's.
The first time I ordered a sandwich, I was a bit put off by the thickness of the bread; I did not want the bread to overwhelm or disguise the flavor of the meats/cheeses/sauce. However, the bread (foccacia) was actually quite soft and complemented the sandwich (the Smokey Mountain) quite well. Nonetheless, I would warn that if you really are opposed to eating a relatively large amount of bread with your sandwich, you might prefer something else, or perhaps one of the wraps offered here (though I haven't tried any of those yet).
Also, it'd be nice if nutritional information were made available on the website. One of the main reasons that 80% of my sandwich consumption has been at Subway/Cosi/Potbelly is that I know the nutritional content of what I'm eating.
I hope to come here as many times as possible before the ASU onslaught begins in a few weeks...I hope the lines aren't out the door when classes start...although I suppose I will just eat lunch at 2 if that's the case.