To dream of a storm implies that you are experiencing extreme hardships and shocking misfortunes in your life. The storm may also symbolize suppressed feelings, terror, hostility, or wrath.
On a more positive note, the storm indicates that your personality is emerging to the surface. To dream that you take cover in a storm implies that the hardships and obstacles will only last a short time. You will be able to overcome them. You possess stamina and intensity to overcome these issues.