  $^7$Li and $^1$H NMR and magnetization measurements in \lpc
(Pc$\equiv$C$_{32}$H$_{16}$N$_8$), recently proposed as a strongly correlated
metal, are presented. Two different low-frequency dynamics are evidenced. The
first one, probed by $^1$H nuclei gives rise to a slowly relaxing magnetization
at low temperature and is associated with the freezing of MnPc $S=3/2$ spins.
This dynamic is similar to the one observed in pristine $\beta$-MnPc and
originates from Li depleted chain segments. The second one, evidenced by $^7$Li
spin-lattice relaxation rate, is associated with the hopping of the electrons
along Li-rich chains. The characteristic correlation times for the two dynamics
are derived and the role of disorder is briefly discussed.
