In 2019, Barrington was awarded the British Nuclear Medicine Society (BNMS) Roll of Honour. Barrington sits on the Editorial Board of Journal of Clinical Oncology; she is the chair of the National Institute for Health Research Academy Involvement Group and the Radiation Safety Committee of Guy's and St Thomas' NHS Foundation Trust. She is a member of various professional organisations, including the Scientific Committee for international workshops on PET in lymphoma, European Lymphoma Institute, Administration of Radioactive Substances Advisory Committee (ARSAC), CRUK Expert Review Panel, Oncology Committee of the European Association of Nuclear Medicine, and National Cancer Research Institute (NCRI) Clinical Studies Group in Lymphoma.
