My family and I regularly visit the restaurant and I will say that we greatly enjoy the blackened Grouper; however, our favorites of this restaurant are a salad, an appetizer and a dessert.
They no longer have on the menu their tomato salad--it's definitely worth asking for. It's quite simple, but very tasty. It's sliced tomatoes, onion slices, capers with a Italian type of dressing.
Their onion ring loaf is also noteworthy, just don't plan on it being a low cal meal if you add this to your dinner.
Last, but certainly not least, is their peanut butter pie--it's worth going to Leverock's for this alone!
You should be able to call ahead and during dinner hours, especially on Fridays and Saturdays it could be very busy. Also, if you go early enough the have nice early bird specials as a lot of the restaurants in St. Pete do.
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