Small plates include fritto misto, a Caesar salad made with smashed cucumbers and beef tartare.
The wine program keeps the selection tight, with eight or nine wines by the glass priced at $19, some less, and about 12 bottles that rotate frequently.
The opening list includes a Lebanese rosé, a Slovenian white blend and a sparkling wine called Pork Soda.
After 10 p.m., Frenzie adds late-night specials, including square slices and one-off pizzas. The kitchen serves those items first-come, first-served.
For a quick night out, the restaurant also offers combinations such as a martini and a slice for $20 or a Narragansett with a shot and a slice for $15.