Chubb auto insurance is sold through Chubb Group, one of the largest and most financially successful global insurance companies in the world. The company specializes in selling premium auto insurance for luxury vehicle owners and collectible car owners, but offers a wide range of insurance products for other vehicles as well. Chubb is highly rated for its financial strength but there is little information about its customer service practices, other than the fact that it is a popular insurance choice among wealthy Americans.