  We discuss the fate of chiral symmetry in an extremely strong magnetic field
B. We investigate not only quark fluctuations but also neutral meson effects.
The former would enhance the chiral-symmetry breaking at finite B according to
the Magnetic Catalysis, while the latter would suppress the chiral condensate
once B exceeds the scale of the hadron structure. Using a chiral model we
demonstrate how neutral mesons are subject to the dimensional reduction and the
low dimensionality favors the chiral-symmetric phase. We point out that this
effect, the Magnetic Inhibition, can be a feasible explanation for recent
lattice-QCD data indicating the decreasing behavior of the chiral-restoration
temperature with increasing B.
