Rice Brook is a 4.22 mi (6.79 km) long second-order tributary to Tunungwant Creek.

[2] Rice Brook rises about 6 miles (9.7 km) northwest of Limestone, New York in Cattaraugus County and then flows south and turns generally east to meet Tunungwant Creek about 3 miles (4.8 km) north of Limestone, New York.

Rice Brook drains 5.95 square miles (15.4 km2) of area, receives about 45.2 in/year (115 cm/year) of precipitation, and is about 95.03% forested.