  We revisit the recently studied supersymmetric gauged inverse seesaw model
(An et al., 2012) to incorporate astrophysical constraints on lightest
supersymmetric particle (LSP) lifetime such that LSP constitutes the dark
matter of the Universe. The authors in An et al. (2012) considered light
sneutrino LSP that can play the role of inelastic dark matter (iDM) such that
desired iDM mass splitting and tiny Majorana masses of neutrinos can have a
common origin. Here we consider a generalized version of this model without any
additional discrete symmetry. We point out that due to spontaneous R-parity
$(R_p = (-1)^{3(B-L)+2s})$ breaking in such generic supersymmetric gauged
inverse seesaw models, LSP can not be perfectly stable but decays to standard
model particles after non-renormalizable operators allowed by the gauge
symmetry are introduced. We show that strong astrophysical constraints on LSP
lifetime makes sneutrino dark matter more natural than standard neutralino dark
matter. We also show that long-livedness of sneutrino dark matter constrains
the left right symmetry breaking scale $M_R < 10^4 GeV$.
