To be fed up with or bored of something repeated or unpleasant; to feel disgusted/annoyed from repetition.
彼の遅刻にもう飽き飽きした。
I'm completely fed up with his being late.
同じ仕事の繰り返しに飽き飽きして、転職を考え始めた。
I got fed up with the repetitive work and started thinking about changing jobs.
その話題にはもう飽き飽きだ。違う話をしよう。
I'm tired of that topic already. Let's talk about something else.
子どもたちは同じおもちゃに飽き飽きして、新しい遊びを探した。
The children got bored with the same toys and looked for new games.