  The Little Randall-Sundrum (Little RS) model receives significantly stronger
constraints from the flavour observables in comparison to Randall-Sundrum (RS)
model. In this paper, we analyse the effect of the electro-weak sector in
Little RS on flavour changing decays of charged leptons. We compare the
predictions of the model with the current limits on the flavour violating
Branching Ratios of $\mu \rightarrow e e e $, $\tau \rightarrow e e e $, $\tau
\rightarrow \mu \mu \mu $, $\tau \rightarrow \mu e e $, $\tau \rightarrow e \mu
\mu $ , $\mu \rightarrow e \gamma $, and $\mu Ti \rightarrow e Ti $. And we
show that the dominant constraint arises from the $\mu Ti \rightarrow e Ti$
process which strongly limits the KK-1 gauge boson mass ($M_{KK}$) to be
$\gtrsim 30.7 TeV $. We then derive and show that generalising the electro-weak
gauge sector to include the Brane Localised Kinetic Term (BLKT) relaxes this
constraint to $\gtrsim 12 TeV$. Towards the conclusion, we comment on the
possibility that the large flavour violating currents can be mitigated by
relaxing the assumption regarding the unnatural thinness and rigidity of the
UV-brane and discuss the possibility of suppression of these currents in
presence of fat fluctuating branes.
