  We compute semiclassical three-point correlation function, or structure
constant, of two finite-size (dyonic) giant magnon string states and a light
dilaton mode in the Lunin-Maldacena background, which is the \gamma-deformed,
or TsT-transformed AdS_5 x S_{\gamma}^5, dual to N = 1 super Yang-Mills theory.
We also prove that an important relation between the structure constant and the
conformal dimension, checked for the N = 4 super Yang-Mills case, still holds
for the \gamma-deformed string background.
