Kammala wannan jumla: Chambliss ya lashe gasar zakarun Amurka na Rookie of the Year Award tare da Indians a shekarar 1971. Ya kasance All-Star tare da Yankees a shekarar 1976, a wannan shekarar ya buga wasan da ya lashe gasar a gasar
Gasar Zakarun Amurka ta 1976. Ya kasance memba na Yankees'1977 da 1978 World Series Championship teams, duka biyu da Los Angeles Dodgers, kuma ya lashe lambar yabo ta Golden Glove a shekarar 1978. Chambliss ya ci gaba da lashe gasar zakarun duniya guda hudu a matsayin mai horar da Yankees a 1996, 1998, 1999, da 2000.