  The non-trivial naked singularities that possess directional behavior in the
charged and uncharged Zipoy-Voorhees (ZV) spacetimes, known as {\gamma} -
metrics are investigated within the context of quantum mechanics. Classically
singular spacetime is understood as a geodesic incompleteness with respect to a
particle probe, while quantum singularity is understood as a non-unique
evolution of test quantum wave packets. In this study, quantum wave packets
obeying Klein - Gordon equation are used to probe timelike naked singularities.
It is shown by rigorous mathematical calculations that the outermost
singularity developed in the charged and uncharged Zipoy-Voorhees spacetime on
the equatorial plane is quantum mechanically singular for all values of the
deformation parameter {\gamma}. However, directional singularities that develop
on the symmetry axis is shown to be healed partially for specific range of the
parameter {\gamma}, if the analysis is restricted purposely to only specific
mode (s-wave mode). Allowing arbitrary modes, classical directional
singularities remains quantum singular.
