Havingblood sugar levels below normal can cause uncontrollable shivering that is accompanied by dizziness, sweating, headache and rapid heartbeats. This condition, also called hypoglycemia, is common among diabetics who are taking insulin.owever, there are a lot of other possible causes of chills. Severe, long-lasting shivering may be a symptom of some medical condition that needs more than just a blanket, but immediate medical treatment.