To become tired of hearing something — to be fed up with hearing the same thing repeatedly.
彼の自慢話はもう聞き飽きた。
I'm tired of his boasting stories.
その曲はちょっと聞き飽きてきたから、別の曲にしよう。
I'm getting tired of that song; let's play something else.
同じ説明を何度も聞き飽きてしまった。
I'm fed up with hearing the same explanation over and over.