  The advanced state of cosmological observations constantly tests the
alternative theories of gravity that originate from Einstein's theory. However,
this is not restricted to modifications to general relativity. In this sense,
we work in the context of Weyl's theory, more specifically, on a particular
black hole solution for a charged massive source, which is confronted with the
classical test of the geodetic precession, to obtain information about the
parameters associated with this theory. To fully assess this spacetime, the
complete geodesic structure for massive test particles is presented.
