  Laudenbach and Sikorav proved that closed, half-dimensional non-Lagrangian
submanifolds of symplectic manifolds are immediately displaceable as long as
there is no topological obstruction. From this they deduced that the
$C^0$-limit of a sequence of Lagrangian submanifolds of certain manifolds is
again Lagrangian, provided that the limit is smooth.
  In this note we extend Laudenbach and Sikorav's ideas to contact manifolds.
We prove correspondingly that certain non-Legendrian submanifolds of contact
manifolds can be displaced immediately without creating short Reeb chords as
long as there is no topological obstruction. From this it will follow that
under certain assumptions the $C^0$-limit of a sequence of Legendrian
submanifolds with uniformly bounded Reeb chords is again Legendrian, provided
that the limit is smooth.
