someties icing will crack after a while, maybe you didn't have enough fat in your buttercream? I'm not sure what does it ,but i don't think chilling will change it. Sorry i couldn't be much help.
If the cracks are not coming from not enough support under the cake, then I agree with those that said the recipe needs more fat.
I just had to recently adjust my recipe because my icing was getting to hard and any little touch against it left huge cracks in it. I also think the change of weather does affect the icing. I've noticed difference in my icing between winter and sumer.
Would you mind sharing your recipe with us? Maybe after seeing it we can better help you.
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