  In this paper, following the basic prescriptions of Gauge/String duality, we
perform a strong coupling computation on \textit{classical} two point
correlation between \textit{local} (single trace) operators in a gauge theory
dual to $ \kappa $-deformed $ AdS_{3}\times S^{3}$ background. Our construction
is based on the prescription that relates every local operator in a gauge
theory to that with the (semi)classical string states propagating within the
\textit{physical} region surrounded by the holographic screen in deformed $
AdS_3 $. In our analysis, we treat strings as being that of a point like object
located near the physical boundary of the $ \kappa $- deformed Euclidean
Poincare $ AdS_{3} $ and as an extended object with non trivial dynamics
associated to $ S^{3} $. It turns out that in the presence of small background
deformations, the usual power law behavior associated with two point functions
is suppressed exponentially by a non trivial factor which indicates a faster
decay of two point correlations with larger separations. On the other hand, in
the limit of large background deformations ($ \kappa \gg 1 $), the
corresponding two point function reaches a point of saturation. In our
analysis, we also compute finite size corrections associated with these two
point functions at strong coupling. As a consistency check of our analysis, we
find perfect agreement between our results to that with the earlier
observations made in the context of vanishing deformation.
