  We present a way of searching for non-transiting exoplanets with dusty tails.
In the transiting case, the extinction by dust during the transit removes more
light from the beam than is scattered into it. Thus, the forward scattering
component of the light is best seen either just prior to ingress, or just after
egress, but with reduced amplitude over the larger peak that is obscured by the
transit. This picture suggests that it should be equally productive to search
for positive-going peaks in the flux from non-transiting exoplanets with dusty
tails. We discuss what amplitudes are expected for different orbital
inclination angles. The signature of such objects should be distinct from
normal transits, starspots, and most - but not all - types of stellar
pulsations.
