  In this work, we study indirect photon signatures of leptophilic dark matter
(DM) coming from Centaurus A, where a DM density spike is believed to have
survived to date contrary to the case of our galaxy. We consider a model where
DM is a Majorana fermion which interacts with right-handed electrons via a
scalar mediator. Assuming that the photons measured from the core of Cen A are
coming from SM processes, we derive constraints on the average annihilation
cross section which are 7 orders of magnitude stronger than the ones from
measurements of the Galactic Center. Focusing on the allowed parameter space
range, we calculate the flux of photons coming from the radiative DM-electron
scattering in the AGN jets and the circular polarisation asymmetry of these
photons. We find that this flux is two orders of magnitude lower than the
background but its circular polarisation asymmetry can reach values close to
$100\%$, indicating the need to experimentally exploit the high fraction of
circular polarisation in order to detect these interactions. Since the origin
of the photons in the GeV-TeV range from Cen A is not completely clear and an
exotic origin is compatible with the measurements as well, we also consider the
scenario in which synchrotron radiation can only partially explain the photon
flux and we fit the excess with signals coming from DM annihilation, finding a
best fit for a DM candidate with a mass $m_{\tilde{\chi}}= 123$ GeV and a
coupling $a_R = 0.018$.
