The name of the monastery is derived from the name of the clan Reževići, one of clans of the Paštrovići tribe.
Svetozar "Tempo" Vukmanović (Светозар Вукмановић Темпо) (14 August 1912 in Podgora village near Cetinje, Kingdom of Montenegro – 6 December 2000 in Reževići village near Budva, Montenegro, FR Yugoslavia) was a leading Montenegrin communist and member of the Central Committee of the League of Communists of Yugoslavia.
Subsequently, he served as a teacher in monastery schools (often the only existing Serb schools in those days) in Praskavica, Podlastva, Podmaine, Reževići, and Savina (all in the littoral).