4. Randy Myers: 112 saves
Despite only spending three seasons at Wrigley Field during his 15-year career, Randy Myers was able to compile an impressive 112 saves in that time. The culmination of Myers' efforts was during the 1993 season, where he made 73 appearances out of the Chicago bullpen and collected a perfect 53 saves in 53 appearances which led the league. Myers also pitched to a 3.11 ERA that year while striking out an impressive 86 batters in 75.1 innings pitched.
If the 1994 season was not cut short because of the Players Strike, Myers would likely be third on this list
3. Carlos Marmol: 117 saves
Carlos Marmol had a unique pathway to the major leagues, as he was signed as an amateur free agent in 1999 as a catcher/outfielder. After a disappointing few years at the plate, Marmol was converted to a pitcher in 2005. He made his way to the big league team in 2006, where he was a successful set-up man until Ryan Dempster was converted to a starter in 2008. Although Kerry Wood won the closer job in 2008, Marmol filled in when Wood dealt with injuries.
Marmol was the team's designated closer from 2010-2012, where he compiled 117 saves for the Cubs. The Theo Epstein-led front office designated Marmol for assignment in 2013 and he only made 15 more big-league appearances for the Miami Marlins in 2014. Marmol was one of the best relievers for the Cubs in the 2000s and 2010s, with an ERA of 3.50 and 703 strikeouts for the club.