How are breast cysts typically treated?

Wait or aspirate. Simple breast cysts in premenopausal women are benign and can be observed for several months to see if they resolve. If, due to pain or worry, the patient desires they may be aspirated with a needle and syringe and the fluid sent for cytology.
No treatment. No treatment is needed for a simple cyst. If it is casing pain t cyst can be drained.
Depends on symptoms. Breast cysts are problematic because they may be indistinguishable from a tumor by mammography or physical examination. Nevertheless, it is very easy to confirm their benign nature by doing an ultrasound. Once the DX is confirmed, there is no need to treat them unless they are causing pain, in which case needle aspiration can be easily accomplished. Happily, these tend to resolve after menopause.