Pure
Caren is a variant of Karen, which is a Danish diminutive of Katherine. It ultimately derives from the Greek word katharos, meaning pure. While less common than the K spelling, it has been used in English-speaking countries since the mid-20th century.
Less common today
Caren isn't in the latest US Top 1000. It last peaked at #2,130 in 1990.
American actress known for the sitcom It's a Living
American stage and screen actress and dancer
German Olympic gold medalist swimmer
US births per 5-year period, 1990βpresent (SSA data).