What does it mean to be. wearing thin ?

for example ,, in fall for you by secondhand serenade ,, it says. i know your wearing thin down to the core and in. we are broken by paramore. it say. holding onto patience , wearing thin. and in. hyper-insomnia-para-condroid by sum 41 , it says. its dragging on , im wearing thin. i cant figure it out ! help please !!