  Presence of the light gravitino as dark matter candidate in a supersymmetric
(SUSY) model opens up interesting collider signatures consisting of one or more
hard photons together with multiple jets and missing transverse energy from the
cascade decay. We investigate such signals at the 13 TeV LHC in presence of
compressed SUSY spectra, consistent with the Higgs mass as well as collider and
dark matter constraints. We analyse and compare the discovery potential in
different benchmark scenarios consisting of both compressed and uncompressed
SUSY spectra, considering different levels of compression and intermediate
decay modes. Our conclusion is that compressed spectra upto 2.5 TeV are likely
to be probed even before the high luminosity run of LHC. Kinematic variables
are also suggested, which offer distinction between compressed and uncompressed
spectra yielding similar event rates for photons + multi-jets + $E\!\!\!\!/_T$.
