When giving the cyclops his name, it gives him the ability to curse him. He wanted to give him his name from his pride and courage he had, which led to his weakness. Also, he wanted him to be remembered by the cyclops. That is bad and good because he could curse him and remember him so he can hunt him down, and good because he will always remember him as the guy who defeated me and outwitted me.
(I wrote this answer for my school)
Hoped I helped!