The guy in the corner whose job it is to stop the bleeding of cuts (caused by head-butts, glove laces, or a good hard punch) or staunch the flow of blood from the nose; they use q-tips dipped in coagulant and vaseline. He also reduces the swelling around the eyes (so the fighter can see) by applying cold pressure. Found on https://www.docsports.com/boxing/boxing-terms.html
The cut man helps stop the flow of blood from fighter's cuts by applying coagulants. The UFC's cut man is Leon Tabbs. Found on https://www.encyclo.co.uk/local/22726