January in Claremont is the snowiest and the most freezing month of the year. In January, the weather in Claremont is typically freezing. Average daily high temperature in January is about 2 degrees below zero. On average, Claremont has 9 sunny, 9 partly cloudy, 6 snowy, 5 cloudy, and 2 rainy days in January. The snowfalls are usually heavy.