Tatyana Andreyevna Savelyeva (Russian: ??????? ????????? ?????????; born 22 May 1947) is a retired Russian backstroke swimmer.
She competed in four events at the 1964 and 1968 Summer Olympics and won a bronze medal in the 4 × 100 m medley relay in 1964; in other events she did not reach the finals.
During her career she set six national records and won five national titles in the 100 m (1964–1966) and 200 m backstroke (1967–1968).She graduated from the Saint Petersburg State Polytechnical University.
After marriage she changed her last name to Gladysheva (Russian: ?????????).