What is another word for a needle case?

Another Word for needle case is etui.This is a standard crossWord puzzle clue - etui, but an etui holds sewing needles.
n. needle-case; small case for toilet articles, etc. © From the Hutchinson Encyclopaedia. Helicon Publishing LTD 2007.

If you mean a roll of fabric for storing knitting needles in narrow "pockets", that rolls up and ties with ribbons or similar, that's a needle roll.

knitting needle cases, rolls, pouches, organizers