to begin to become weaker or less acceptable :
These excuses are wearing a little thin (= because we've heard them so many times before) .
to begin to become weaker or less acceptable :
These excuses are wearing a little thin (= because we've heard them so many times before) .
Oxford Advanced Learner's English Dictionary. Оксфордский английский словарь для изучающик язык на продвинутом уровне. 2005