To dream of hanging clothes on a clothesline represents your wish to notice problems going away on their own. You might be sad, angry, or embarrassed and keeping your distance from others until it feels better. A clothesline may also reflect you wish to not get involved in someone else's problems. Negatively, a clothesline may represent embarrassing someone else and making them face a problem by themselves.
Alternatively, a clothesline may represent your attempts to bide your time knowing that problem will fix itself or that stubborn enemies are guaranteed to lose if you are patient enough.