Is it advisable to wear bra while sleeping at night? October 13th is National No Bra Day, invented to promote breast cancer awareness and to help raise money for research. Bras are a divisive symbol; some consider them a ludicrous invention, others as a tool for emancipation. Scientifically speaking, the most notorious research on bras and breasts came out a couple of years ago. The findings suggested that wearing a bra from an early age did nothing to help support the chest, reduce back pain or prevent breast sagging. On the contrary, they get saggier with a bra.