OK time to chime in, I am a local and I fully support and recommend Tony Rome's place. He has been bulding the new restaurant since the hurricane, and right now it might not be the prettiest place, and yes right now there are plastic tables, but, going to Tony's is well worth it just the same, and will be even more so when he's got the place finished.
Tony is a very kind and generous human being who goes out on a limb often for people, sometimes people he doesn't even know, he is a wealth of knowledge on many subjects Cozumel and is always going out of his way to help people. His food is good, specially the ribs and the chicken parmesan, his key lime pie is to die for and his Flamethrower Margaritas are legendary, and quite yummy (just don't have too many to fast or you'll pay for it).
It is NOT true that he wines all the time, he's human as we all are, and well there's alot of crap to deal with here that is just mind boggling (it would take a book for me to explain just how bass ackwards some things are here).
But don't put the man down for this, his heart is gold, and his food is not bad at all. Little known fact that Tony used to sing in Vegas many years ago, and he was also in a movie with Frank Sinatra back in the heydays. He is in his own right a bit of a celebrity, and this is something no other restaurant in Cozumel has.
Yes, there are many great restaurants in Cozumel, and everyone will have their favorites, going to Tony Rome's is well worth it and meeting the man is always a pleasure. I can't wait until the new place is finished, he's putting alot of work and money into having a lovely restaurant and soon he will, and in my opinon he deserves all the support he gets, and he certainly has mine.
Enjoy Cozumel!!!