  We investigate (2+1)-dimensional gravity in a Weyl integrable spacetime
(WIST). We show that, unlike general relativity, this scalar-tensor theory has
a Newtonian limit for any dimension and that in three dimensions the congruence
of world lines of particles of a pressureless fluid has a non-vanishing
geodesic deviation. We present and discuss a class of static vacuum solutions
generated by a circularly symmetric matter distribution that for certain values
of the parameter w corresponds to a space-time with a naked singularity at the
center of the matter distribution. We interpret all these results as being a
direct consequence of the space-time geometry.
