Do you get sick of the same songs and how do you combat it?

If I find myself overplaying certain songs, I sometimes have to force myself to take a break because when I don't, I usually end up ruining/disliking the song. I hate when this happens because perfectly good songs that I love end up irritating me because I have heard it too much. Do you stop listening to those songs or just play it as many times as you like?

EDIT: changed title to be open-ended.