shirt-sleeve adjective 2shirt sleeve noun 1forms 2 adjective2 •Having an informal, relaxed appearance or approach, particularly in business.He had a shirt-sleeve style of management. •That allows working without the need of wearing a spacesuit.The Exploration Cooling Garment shall allow a crewmember to maintain their nominal shirt-sleeve range of motion. — 2008 shirt sleeve noun1 •The part of a shirt that covers an arm.By far the most important fitting issue for sleeves, whether for a woman's shirt or a man's, is length, and that's probably the only part of the shirt sleeve that's bothered you if it wasn't right. — 1998 formsshirt sleeves · shirtsleeves