Vitrimers and vitrimer-like systems are renowned for their exceptional mechanical and thermal characteristics, coupled with their inherent recyclability. In this study, a novel class of vitrimer-like systems is introduced, wherein a tetrathiol and diisothiocyanate are blended to create poly(dithiourethanes), catalyzed by a basic catalyst. An innovative covalent adaptable network (CAN) is synthesized, featuring a glass transition temperature (Tg) of 332 K as determined by calorimetry, with a tensile modulus of 2240 MPa. The material’s properties are investigated through solubility, stress-relaxation, and creep experiments, revealing relaxation times as short as 0.7 min at 363 K, indicative of its robust dynamic behavior. Dielectric spectroscopy is employed to analyze the various relaxation processes characteristic of such materials, particularly when the topology freezing transition (Tv) occurs below the Tg. This technique complements the findings of dynamic thermomechanical analysis (DMA), enhancing our understanding of the material’s behavior. Furthermore, the materials exhibit recyclability through a grinding and compression molding cycle without significant mechanical damage. Their dielectric constant and low loss factor, combined with the reversibility of their chemical structures, position them as promising candidates for energy-related applications.