Artificially assembled linear atomic clusters, CoCu
n
CoCu
m
, are used to explore variations of the Kondo effect at the two Co sites. For all investigated Cu
n
chain lengths (
) the addition of a single Cu atom to one edge Co atom of the chain (
) strongly reduces the amplitude of the Abrikosov–Suhl–Kondo resonance of that Co atom. Concomitantly, the resonance line width is more than halved. On the contrary, the Kondo effect of the opposite edge Co atom remains unaffected. Hybridization together with the linear geometry of the cluster are likely to drive the effect.