A glassy film of syndiotactic polystyrene (SPS) prepared by quenching the melt into ice-water shows a recovery of the dynamic tensile moduli above glass transition temperature. The recovery process of the dynamic moduli is associated with the crystallization-nucleation process. It is found that the SPS film isothermally heated at a temperature in the recovery process shows power law relaxation behavior or a critical state like a gelation point. Furthermore, the polarized infrared and light scattering studies support that the critical state forming a three-dimensional network junctions, which act as precursors of the crystal nuclei during strain-induced crystallization, appear during the induction of crystallization.