All of the troopers in the 3rd New York Cavalry, and many of the mounted men in the Battery K, 1st Rhode Island Light Artillery, had link straps in March 1863.  If you don't have one, or if you need to upgrade to a better one,  Merrick's Custom Leather will be making copies of an original from proper weight leather and using the correct wartime enameled D buckle.

Link Strap - The Patrol