Chung was a research associate in the department of biology at Birkbeck, University of London from 1991 to 1994. She was a research scientist in the school of biological sciences at University of Wales from 1994 to 2003. Chung was an assistant professor in the center of marine biotechnology at the University of Maryland Institute for Bioscience and Biotechnology Research from 2004 to 2010. In 2010, she joined the faculty at University of Maryland Center for Environmental Science Institute of Marine and Environmental Technology. She was promoted to associate professor in 2012. Chung is a professor.
