small case into which an object fits
"She placed her phone inside the protective sleeve before putting it in her bag."
The part of a garment that covers the arm.
"She rolled up her sleeve to get better circulation while working in the hot kitchen."
In plain English: A sleeve is the part of a shirt or jacket that covers your arm from the shoulder to the wrist.
"She rolled up her sleeve to fix the leaky faucet."
To fit and attach a sleeve to an upper garment (e.g. to a shirt, blouse, sweater, jacket, coat, etc.) or to a folder.
"The tailor carefully sewed the new fabric onto the shoulder seam to properly sleeve the vintage blazer for its upcoming sale."
In plain English: To sleeve something means to put it inside a protective covering, like putting a shirt into a plastic bag for storage.
"The old man began to sleeve his new shirt before heading out for dinner."
Usage: Use the verb to sleeve when describing the process of attaching sleeves to garments like shirts or jackets during construction or alteration. This term specifically refers to adding the fabric component rather than putting an arm inside it while wearing clothing.
The word sleeve comes from Old English slīef, where it originally meant the same garment we know today. It traveled into Middle English as sleve before becoming part of standard modern usage.