What's the noun for sleeving? Here's the word you're looking for.
sleeve
The part of a garment that covers the arm. [from 10th c.]
A (usually tubular) covering or lining to protect a piece of machinery etc. [from 19th c.]
A protectivejacket or case, especially for a record, containing art and information about the contents; also the analogous leaflet found in a packaged CD. [from 20th c.]
(British Columbia) A serving of beer measuring between 14 and 16 ounces.
(US) A long, cylindrical plastic bag of cookies or crackers.
(electrical) A double tube of copper into which the ends of bare wires are pushed so that when the tube is twisted an electricalconnection is made. The joint thus made is called a McIntire joint.