The village contains a parish church, in whose churchyard stands the local war memorial in form of a square stone cross.[2]
Two early London publishers were born here. Thomas Adams (c1566-1620) was son of a yeoman farmer of Neen Savage, and George Potter (c.1572-1627) was a son of Edward Potter of Musbatch. Musbatch Cottage still stands. Both Thomas and George became members of the Stationers Company and had businesses near St Paul's Cathedral.
In 2016 the population of Neen Savage was estimated to be just under 300.