After a brief motivation and introduction to Bekenstein's
tensor-vector-scalar theory (TeVeS), I will discuss its cosmology and
the framework of gravitational lensing. I will continue in
highlighting three different aspects of applications, pointing towards
a possible distinction between TeVeS and the concordance model: Voids
and filamentary structures, which due to their low densities are
subject to strong nonlinear effects, and the complex lens system Abell
2390 with its mysterious straight arc.