Kammala jumla mai zuwa: Keene ya wakilci Ingila kusan kusan shekaru ashirin a cikin ƙungiyoyin ƙungiyoyi na duniya, farawa da gasar Olympics ta Chess ta 1966 a Havana yana da shekaru 18. Ya biyo baya tare da wasannin Olympics na bakwai masu zuwa: Lugano 1968, Siegen 1970, Skopje 1972,
Nice 1974, Haifa 1976, Buenos Aires 1978, da kuma La Valletta 1980. Ayyukansa na mutum a Lugano da Haifa sun cancanci lambar tagulla (duk da cewa ba a ba da lambar yabo ta mutum ba, a zahiri, a Haifa) kuma ba a doke shi ba a wasannin Olympics guda uku <unk> waɗannan biyu da Siegen. Ayyukansa na gaba, duk da haka, ba su da ban sha'awa, tare da kawai wasanni biyu daga wasanni hudu a Buenos Aires da kuma hasara a wasansa biyu a La Valletta.