  The $ \gamma $-spacetime metric is a static and axially symmetric vacuum
solution of the Einstein equation. This spacetime represents a naked
singularity and it has an extra parameter $ \gamma $ which signifies deviations
from spherical symmetry. In this work, we study the possibility of constraining
the deformation parameter with astrophysical observations. We start with
gravitational lensing in the weak and strong-field limit and calculate the
respective deflection angles to show that only strong-field lensing
observations will be able to constrain $ \gamma $ independently. Later we study
two other classical tests of gravity: Shapiro time delay and precession of
perihelion. We show that, out of these two experiments, the deformation
parameter affects the observables only in perihelion shift.
