As an AI language model, I don't have real-time data or the ability to browse the internet. Therefore, I cannot provide you with the current list of the fastest boxers in the sport. However, as of my last knowledge update in September 2021, some boxers known for their speed and quickness include:


Vasyl Lomachenko: Lomachenko, a Ukrainian boxer, is renowned for his exceptional footwork, agility, and hand speed. His ability to quickly change angles and land rapid combinations has made him a dominant force in the ring.


Terence Crawford: Crawford, an American boxer, is known for his excellent hand speed and reflexes. He has showcased his speed in multiple weight divisions, becoming a world champion in multiple weight classes.


Gary Russell Jr.: Russell Jr., an American boxer, is known for his blinding hand speed. He has displayed his quickness and accuracy in his fights, often overwhelming his opponents with fast combinations.


Gervonta Davis: Davis, an American boxer, possesses tremendous speed and power. His explosive style, combined with his hand speed, has helped him achieve multiple world championships in different weight divisions.


Naoya Inoue: Inoue, a Japanese boxer, is known for his combination of power and speed. He has displayed exceptional hand speed, often overwhelming his opponents with lightning-fast punches.


Please note that boxing is a dynamic sport, and the landscape can change rapidly with new talents emerging and others reaching their prime. It's always a good idea to stay updated with the latest news and boxing events to have the most accurate information on the fastest boxers currently active.