To become tired or fed up from waiting for a long time; to grow weary of waiting.
駅で電車を一時間も待って、すっかり待ちくたびれた。
I waited at the station for an hour and got completely tired of waiting.
友達が遅すぎて待ちくたびれてしまった。
My friend was so late that I grew tired of waiting.
子どもたちは開演を待ちくたびれて騒ぎ始めた。
The children grew bored of waiting for the show to start and began to make a fuss.
返事を待ちくたびれて、こちらから電話した。
I grew tired of waiting for a reply, so I called them myself.