We investigate the effect of weak gravitational lensing in the limit of sma
ll angular scales where projected galaxy clustering is, strongly non-linear
. This is the regime likely to be probed by future weak lensing surveys. We
use well-motivated hierarchical scaling arguments and the plane-parallel a
pproximation to study multi-point statistical properties of the convergence
field. These statistics can be used to compute the vertex amplitudes in tr
ee models of hierarchical clustering; these can be compared with similar me
asurements from galaxy surveys, leading to a powerful probe of galaxy bias.