  The initial insight into time delay in Mn photoionization in the region of
the $3p \to 3d$ giant autoionization resonance is gained in the framework of
the "spin-polarized" random phase approximation with exchange. The dramatic
effect of the giant autoionization resonance on time delay of photoemission
from the $3d$ and $4s$ valence subshells of the Mn atom is unraveled. Strong
sensitivity of the time delay of the $4s$ photoemission to the final-state term
of the ion-remainder [${\rm Mn^{+}}(4s^{1},$$^{5}S)$ vs.~${\rm
Mn^{+}}(4s^{1},$$^{7}S)$] is discovered. It is shown that photoionization time
delay in the autoionizing resonance region is explicitly associated with the
resonance lifetime, which can, thus, be directly measured in attosecond time
delay experiments. Similar features are expected to emerge in photoionization
time delays of other transition-metal and rare-earth atoms with half-filed
subshells that possess giant autoionization resonances as well.
