Ka kammala wannan furcin: A Wasannin Daular Britaniya da na Ƙasashen Commonwealth da aka yi a Cardiff a shekara ta 1958, Puckett ya yi tsere a tseren mil shida na maza kuma ya zama na goma sha biyu, kuma a tseren marathon, ya zama na goma sha huɗu. Ya yi gasa a tseren marathon a wasannin Olympics na Rome na 1960, Puckett ya gama a matsayi na 51 a cikin lokaci na 2: 37: 36. Shekaru hudu bayan haka a cikin wannan taron a
Wasannin Olympics na 1964 a Tokyo, ya gudu 2: 27:34 ya gama 27th.