Cleavinger picked up a hold Tuesday against the Yankees, allowing one hit and no walks in a scoreless eighth inning. He struck out two.
Cleavinger continues to operate as Tampa Bay's primary left-handed setup man for closer Bryan Baker. Through 25.2 innings, the 32-year-old southpaw has a quality 3.86 ERA, 1.29 WHIP and 34:11 K:BB to go with 15 holds and two saves in four opportunities.