This work has developed advanced technical applications in clean production based on a biocomposite high-density polyethylene (HDPE) reinforced cellulosic Yucca treculeana L. fibers (YTFs) from agriculture waste leaves. Once the extraction was complete, the fibers were chemically treated with a low concentration (3% for 4 h) of sodium bicarbonate (NaHCO₃) to remove impurities from their surface and increase their adhesion capacity. Furthermore, this work aimed to understand how adding YTFs (10%, 20%, and 30%) influences the dynamic properties of the polymer-based clean production biocomposites. The impact of the additions on the damping behavior in terms of loss modulus (E″), storage modulus (E′), glass transition temperature (Tg), and loss factor (tanδ) of YTFs/HDPE biocomposites was evaluated at a frequency of 1 Hz using the dynamic mechanical analysis. In particular. According to the results, E′ is significantly improved by adding YTFs. Furthermore, to reach a Tg of about 80 °C, YF30/HDPE offers a tanδ of 0.164, an E′ of 2491 MPa, and an E″ of 223 MPa. Scanning electron microscope images reveal a fiber-polymer interface that adheres firmly to the HDPE matrix. This study highlights the promising potential of YF/HDPE biocomposites as sustainable and cost-effective replacements for conventional materials in diverse applications. Indeed, given its load-bearing capacity and recyclability, this type of biocomposites would be a wise choice for manufacturing automotive interior trim, sporting goods, and eco-friendly building materials. Further research and development could optimize the properties of these biocomposites and extend their use to various cleaner production industries.