Is a hysterectomy induced menopause likely to last?

Usually. If your ovaries were removed then you are in menopause. If you still have your ovaries and go through menopause, you will usually remain in menopause. The first few years of peri menopause can cause a woman to go in and out of a menopausal like state and it is possible that after a hysterectomy where the ovaries where spared that you could be experiencing this phenomenon too.