Pedzisa mutsara unotevera: Nokuda kwemakwikwi eF2 ya1979, Cheever akasiya Project Four uye akabatana neboka reItaly Osella, achitora kukunda kutatu uye wechina wose muFA2 yavo yeBMW-powered. Muna Osella akaenda kuFormula One, Cheever achityaira chikwata cheCosworth-powered FA1. Zvisinei, motokari yacho yakanga isina kuvimbika uye Cheever akakwanisa kupedza kamwe chete gore rose, nzvimbo yegumi nembiri pamakwikwi eimba yechikwata mu
Italy. Kuchinja zvikwata kakawanda sezvaaiedza kukwira nzira yake kumusoro kwegridi, Cheever aive nemapoinzi mashanu-anopedzisa timu yeTyrrell muna 1982, uye matatu mapodhiyamu eLigier gore rakatevera, kusanganisira nzvimbo yechipiri pa1982 Detroit Grand Prix.