Tightwad is a village in Henry County, Missouri, United States.Its population was 64 at the 2010 United States Census.he first Tightwad Bank opened in 1984 as a branch of the Citizens Bank of Windsor (Windsor, Missouri) at first housed in a portable trailer then eventually a one-story brick building still in use today. Publicity over the unusual name eventually led to deposits totalling over $2 million.