Student Assisted Vaccination Effort Act or the SAVE Act This bill expands the types of medical personnel authorized to administer or use a covered countermeasure (i.e., a qualified pandemic or epidemic product, a security countermeasure, certain drugs, biomedical products, or medical devices, or a respiratory protective device) during a federally-declared public health emergency to include specified health profession students with appropriate training in administering vaccines and supervision by a licensed health professional.