Correctly, it is 'Chain, Chain, Chain. Chain of Fools!'
Then it would be very easy not to get shameful because you would not have anything to give you shame in the first place. So, if you do not feel shame from anything but shame, you would not feel shame...
Little Big Town-Boon Docks
I believe you are referring to the song "Shame" by The Motels which came out in 1985.
basically, once you fall for something, you should be smart enough not to fall for it again. the second time, it's your fault for not catching on.