Abstract: Transverse one dimensional foliations play an important role in the study of codimension one foliations.In [19], the authors introduced the notion of flow box decomposition of a 3manifold M .This is a combinatorial decomposition of M that reflects both the structure of a given codimension one foliation and that of a given transverse flow, and that is amenable to inductive strategies.In this paper, flow box decompositions are used to extend some classical foliation results to foliations that are not C 2 .Enhancements of well-known results of Calegari on smoothing leaves, Dippolito on Denjoy blowup of leaves, and Tischler on approximations by fibrations are obtained.The methods developed are not intrinsically 3-dimensional techniques, and should generalize to prove corresponding results for codimension one foliations in n-dimensional manifolds.