This is a phase 2 trial to assess the safety and tolerability of three schedules of CUE-101 administered in the neoadjuvant phase before standard of care (SOC) therapy to treatment naïve, HLA-A\*0201 positive patients with newly diagnosed, locally advanced HPV16+ oropharyngeal squamous-cell carcinoma (OPSCC). This is an exploratory trial of a limited sample size to confirm safety and to assess for pharmacodynamic signals of efficacy in each of three schedules of CUE-101. Safety assessments will be performed at baseline and after CUE-101 administration. To assess for efficacy, peripheral blood and tumor samples will be collected at baseline and after CUE-101 administration. Following CUE-101, patients will proceed with SOC therapy, as prescribed by the treating physician.