  We perform a theoretical analysis of the fate of local magnetic moment of a
quantum dot coupled to a normal metallic lead and a topological superconducting
wire hosting Majorana modes at the ends. By means of simple analytical tools
and numerical renormalization group calculations we show that the proximity of
Majorana mode reduces the magnetic moment from $1/4$, characteristic of a free
spin $1/2$, to $1/16$. The coupling to the normal lead then causes the Kondo
effect, such that the magnetic moment is fully screened below the Kondo
temperature. The latter is vastly increased for strong coupling to Majorana
mode.
