What are the odds that you'll be safer in Claremont, New Hampshire compared to other areas of New Hampshire, as well as the rest of America? When it comes down to it, is Claremont safe? In the graphs above, it shows that Claremont is safer than 22% of New Hampshire cities, and 53% compared to all other cities across America. These statistics are calculated by taking a closer look at each city's crime rate in New Hampshire, as well as the rest of the US. It is then determined which cities see less crime than Claremont. At this time, Claremont sees a above average rate of crime in comparison to other United States cities.