Clarence Center is also one of the postal zones in the town with a ZIP code of 14032.

On February 12, 2009 at 10:20 pm, a Continental Connection flight operated by Colgan Air went down in Clarence Center, killing all 44 passengers and five crew members, along with one resident on the ground whose house the plane impacted.

[4] According to the United States Census Bureau, the CDP has a total area of 2.1 square miles (5.4 km2), all land.

The heart of the community is the more heavily settled area by the intersection of Clarence Center and Goodrich Roads.

A hiking/biking trail connects Clarence Center to Akron, New York, to the east and to NY Route 78, Transit Road, to the west.

The J. Eshelman and Company Store at 6000 Goodrich Rd., was listed on the National Register of Historic Places in 1982.

[8] East of the four corners is the Clarence Center Elementary School, which serves most of the northern part of the town.