  We compute spin $ 2 $ spectrum associated with massive graviton fluctuations
in $\gamma$-deformed Gaiotto-Maldacena background those are holographically
dual to marginal deformations of $\mathcal{N}=2$ SCFTs in four dimensions.
Under the special circumstances, we analytically estimate the spectra both for
the $ \gamma $- deformed Abelian T dual (ATD) as well as the non-Abelian T dual
(NATD) cases where we retain ourselves upto leading order in the deformation
parameter. Our analysis reveals a continuous spectra which is associated with
the breaking of the $ U(1) $ isometry (along the directions of the internal
manifold) in the presence of the $ \gamma $- deformation. We also comment on
the effects of adding flavour branes into the picture and the nature of the
associated spin $ 2 $ operators in the dual $ \mathcal{N}=1 $ SCFTs.
