  In this short note we observe that the boundary of a properly embedded
compact exact Lagrangian sub-manifolds in a subcritical Weinstein domain $X$
necessarily admits Reeb chords. The existence of this Reeb chords either
follows from an obstruction to the deformation of the boundary to a cylinder
over a Legendrian sub-manifold or from the fact that the wrapped Floer homology
of the Lagrangian vanishes once this boundary have been "collared".
