You have probably chosen the one complication that is harmless, and requires little or no treatment, and resolves spontaneously all the time.
Mondor's disease is thrombophlebitis of the superficial breast veins. The specific cause is not clear, but may be related to the incision and to the compression of the tissues around the breast fold with the new implants in place. I know of no known preventative. It might be that anti-clotting agents like aspirin would decrease the risk, but would amplify the risk of much more serious complications related to bleeding.
Thanks for your question, all the best.