Chamois leather from chamois seems to have been a rare leather even in 1873.
The American Cyclopædia Vol.2 (1873)
Chamois, Or Gems (Antilope Rupicapra, Pallas)
The skin is dressed into a fine light leather, in use for under garments, and for cleaning plate, glass, and the like; though but a small quantity of what is sold as chamois, or, as it is usually termed, shammy leather, is actually made from the hide of this animal. - Of all sports, the pursuit of the chamois is the most difficult and perilous.
Chamois (Antilope rupicapra).
It is also the least profitable, so rare is the beast becoming even in his most difficult and remotest haunts, so small are the chances of success, and so little the value of the game when taken.
I've looked through the webpages below, but no tannery seems to use chamois skins.
Hafde Plc Tannery, Ethiopia
We are the best source in the world for top quality highland hair sheep and bati genuine type goat skins.
Henan Prosper Skins & Leather Enterprise Co Ltd, China
Genuine chamois leather is a unique and natural product. Quality cod oil tanned chamois leather made from carefully selected sheepskins.
Holbros Ltd, UK
Hutchings & Harding Ltd, UK
Genuine chamois leather is a unique and natural product. Selected sheepskins are 100% cod oil tanned to give the luxurious, golden, soft finish that can absorb six times its weight of water. Hutchings & Harding chamois has the reputation for quality, still manufactured in the traditional method to ensure high performance and durability.
Ibrahim Leather, Bangladesh
J & T Beaven Ltd, UK
Jiaozuo Huifeng Fur & Leather Products Co Ltd, China
Kent Chamois Co Ltd, UK
MESI SpA Marocchinerie E Scamoscerie Italiane, Italy
Nugget International, USA
Pasne Enterprises, India
Riez Company, Japan
Russell Fine Leather, UK
Tannery Ahmed A. Ahahin Sons, Egypt
Ch Joye & Fils, Belgium
Tradecom International - Bangladesh
Canada Blue Corp. - Canada
JIAOZUO HUIFENG FUR & LEATHER PRODUCTS Co - China
Lixian Shuangli Leather Products Co., Lt - China
We specialize in manufacturing high quality chamois leather (made of sheep-skin and goat-skin)
Astoria leathers - India
M.E.S.I. Spa Marocchinerie E Scamoscerie - Italy
Josefa Perez Jimeno, SA - Spain
Deri 2000 Chamois Leather and Skiver - Turkey
Genuine Chamois leather is made from the flesh split of a sheep skin and is tanned using natural marine oils.
Soydan A.S. - Turkey
zimeks chamois leather tannery - Turkey
Holbros Ltd - United Kingdom
Acme Sponge & Chamois Co., Inc. - United States
Only the finest sheepskin are selected for the Tanner's Select product line.
Surak Leather Co. - United States