From Wikipedia:

The M1885 Remington-Lee was Remington's version of the Model 1879, and saw only limited use by the U.S. Navy, The Model 1882 was tested by U.S. Army and issued on a very limited scale.[Ref 1] Ultimately, it was passed up in favor of the Krag–Jørgensen in 1892.

Ref 1: http://milpas.cc/rifles/ZFiles/Bolt%20Ac...ington-Lee.html

The Lee Model 1895 was a straight-pull, cam-action magazine rifle adopted in limited numbers by the U.S. Navy and Marine Corps in 1895 as a first-line infantry rifle.[Ref 3]

Ref 3:
Walter, John, The Rifle Story: An Illustrated History from 1776 to the Present Day, MBI Publishing Company, ISBN 1-85367-690-X, 9781853676901 (2006), pp. 133–135