The Reeb foliation arises as a family of Legendrian submanifolds at the   end of a deformation of the standard S^3 in S^5
  We realize the Reeb foliation of S^3 as a family of Legendrian submanifolds of the unit S^5 \subset C^3, Moreover we construct a deformation of the standard contact S^3 in S^5, via a family of contact submanifolds, into this realization. 
Atsuhide Mori
math.GT