My family and I went on opening night, and we had a great time. I'm a native Texan, and lived in Austin during high school and college. I'm a University of Texas graduate, and still recall going to the original Chuy's in the early 80's. Arguably, Chuy's was arguably the beginning of a new type of restaurant in Austin, and certainly broke the mold of places like Matt's el Rancho, El Patio, and even Pancho's (for those of you familiar with Pancho's, yes, I have some regrets.)
For an opening night, Chuy's hit a home run; there were certainly some hiccups, but the food was hot and delicious, our server was friendly, and a manager stopped by tables to thank folks for coming in. The "New Mexico Martini", featuring tequila infused with hatch chiles, was unique and delicious. I love a great chile relleno, and mine was perfect. We also had fish tacos, as well as fajitas.
By definition, there is no such thing as refined Tex-Mex. This isn't upscale or elevated, but it is fun, delicious, and the food is fresh. The comment about "not where she would go in Austin" is valid, but fairly irrelevant, since there aren't any Tex-Mex places in this area, while Austin obviously has a ton of choices.
No guarantees everyone will love Chuy's, but they have some great choices for fans of Tex-Mex.