  We study the stability of an asymptotically flat, static, spherically
symmetric naked singularity spacetime in the novel four dimensional
Einstein-Gauss-Bonnet (EGB) gravity. The four dimensional EGB black hole for
large enough values of the coupling parameter leads to such a naked
singularity. The stability and the response of the spacetime is studied against
the perturbations by test scalar, electromagnetic and Dirac fields and the time
evolution of these perturbations were observed numerically. Implementing a null
Dirichlet boundary condition near the singularity, we observed that for l=1
modes of scalar, electromagnetic perturbation and l=0,1 modes of Dirac
perturbation the time-domain profile give rise to distinct echoes. However, as
the coupling constant is increased, the echoes align and the QNM structure of
the 4D-EGB naked singularity-spacetime becomes prominent. For higher values of
the multipole number, the spacetime becomes unstable, thereby restricting the
parameter space for the coupling parameter.
