|Date of birth||15 February 1956|
|Place of birth||Ilijaš, SFR Yugoslavia|
|1979–1983||Red Star Belgrade||44||(6)|
|* Senior club appearances and goals counted for the domestic league only.
Born in Ilijaš, near Sarajevo, SR Bosnia and Herzegovina, back then within Yugosavia, Savić started playing at the small local club FK Sloga Ilijaš, before getting picked up by the local powerhouse FK Sarajevo in the mid-1970s. Savić went to spend four seasons with the club, appearing in 91 Yugoslav First League matches and scoring 31 goals.
During his time at Sarajevo Savić became one of the top Yugoslav strikers, and in the 1977–78 season he was the league's top scorer with 21 goals in 33 appearances. In the 1978–79 season he helped the Sarajevo finished fourth, which was the club's best result in years. Together with teammate Srebrenko Repčić, Savić moved to Yugoslav giants Red Star Belgrade in the summer of 1979.
He spent the following four and a half seasons with Red Star, but his time at Belgrade-based side was less successful. Savić never managed to break into the first team and only scored 6 league goals in 44 appearances. In spite of lack of playing time, Savić was part of the squad which won the 1979–80 and 1980–81 league titles during his time at the club.
In the winter of 1983 he moved on to Yugoslav Second League side Spartak Subotica, with whom he spent the rest of the season, and who finished runners-up in Division West behind Iskra Bugojno, narrowly missing promotion. He then signed for Budućnost Titograd, a top level side who spent the season struggling to avoid relegation, and helped them finish 15th in 1984–85 with 3 goals in 25 appearances.
In 1985 Savić moved abroad and joined Austrian lower level side Wolfsberger AC, with whom he spent several years before retiring in the early 1990s.
- Radomir Savić profile at WeltFussball.de