Proverb that means "Even something done completely wrong might yield a slightly good result (but that doesn't mean it should be done)"

It somewhere on the lines of “Even a dead clock is right twice a day”. The proverb is sarcastic. I know it exists, I have just forgotten it. It describes:

• Something that is abused or used not in a way that it was intended to
  and hence yields only a slightly positive result. The result is
  minimal compared to what could have been.
• The proverb is something like “A soon to die man has no worries”. Here one can say that a person who is dying doesn’t have any worries. But that would be completely out of place because they are DYING.
• The proverb is something like “Even a drowning man will have his throat wet” (Here having your throat wet is a desirable thing. Sorry, this is the best I can describe it. But I think it captures the essence of the proverb I am trying to find)
• It encapsulates sacrificing or losing something precious and gaining something vain.

It is an ironic proverb.