My boyfriend is recovering from thrush. when is it safe to be around him or kiss him?

Thrush which is yeast normally lives in the month in a healthy individual. When you get thrush there is usually a reason and often related to your underlying health or taking antibiotics. Once he is treated and the visible signs of thrush are gone then there is no problem for you. If you are completely healthy, there likely would not be a problem all along, however.