Do you mean you crave ice all day long? If so, I think that can be a sign of anemia, but obviously check with a doctor first. If it is then an iron supplement should help, but be careful with taking iron without checking with the doctor first. I hear it can be dangerous if you don't need it, but then I also hear women tend to be deficient in it. I gave up on using iron supplements until I can get a straight answer or my doctor tells me I need to. I'd rather just play it safe.
Yes, it sounds like anemia. Go to your doctor and get your blood work done and tell him these symptoms. I had a friend that chewed ice and she found her blood wasn't right.