Varvaro was claimed off waivers by the Cubs on Sunday, MLB.com's Carrie Muskat reports. The Red Sox dumped Varvaro after he posted an uninspiring 4.09 ERA and 8:6 K:BB ratio over 11 innings, but he could represent an upgrade for the Cubs over their current crop of low-leverage relievers. He'll likely begin his stint with the new organization at Triple-A Iowa, before potentially earning his way to the big-league bullpen if he performs well.