The incessant chatter wearied of me into restlessness. 

这句话我会理解成喋喋不休的唠叨厌倦了我

weary可与物,可以不及物。不及物动词weary和of连用构成短语动词weary of.  及物动词使用方法,一般意思是主语使宾语感到厌倦,即Something/somebody weary somebody.  不及物动词汇法,一般意思是主语对...感到厌倦,即Somebody weary of something/doing something.  你的句子删去of,改为 The incessant chatter wearied me into restlessness.