My advise here will be to consult your doctor before administering any drug, Esp to a 8 year old child. Drugs can have far more devastating effect on development of brain of a kid. Also, most kids just grow out of it. Your best bet is speech therapy. Also, aside from other kids making fun of him, providing a safe environment where he can stutter freely will help him realize that it is ok to stutter, and not get anxious over speaking. Ive lived 40 years with stutter, and although ive overcome much of my stuttering, it is very difficult to get over speaking anxiety.