He started and finished his 18-year professional career with Instituto, but competed mostly in Spain and Germany, notably amassing Bundesliga totals of 213 games and 71 goals in the latter country.

Born in Quilmes, Buenos Aires, Klimowicz started his career at Instituto Atlético Central Córdoba in the Primera B Nacional.

[2] He was sold to Rayo Vallecano of La Liga in 1996, scoring 11 goals in his first season but being relegated to Segunda División;[3][4] the latter club was later banned from buying or selling foreign players, for failing to pay the accorded sum of 240 million pesetas.

[6] After netting just seven times across all competitions during his spell at the Estadio José Zorrilla, however,[7] he returned to his country in 1999 and joined Club Atlético Lanús.

[12] He added four goals in their runner-up run in the DFB-Pokal, being booked as a second-half substitute in the decisive match, lost 2–1 to Bayern Munich after extra time.