Is abdominal skin itching a sign of some disease?

Not necessarily..: This is quite a common condition in winter time in the northeast regions..Or anywhere that is cold and dry. When the tempt gets cold and the air is dry, your skin dries out and may crack a bit with movement/stretching, commonly around the belly/sides areas. Avoid hot showers/baths, and use skin lotion regularly..If this resolves the itching, then your problem solved! good luck.

May be allergy: Abdominal skin itching often accomplanies other skin itching, but by itself may be due to a localized problems such as contact dermatitis or stretch marks.