1908 article of closing mentiones a stay of "sixteen years" in the shop which implies 1892 start date.

1895-05-17 - R. P. Gibson Barber Shop. Shaving, Hair cutting and Shampooing a specialty. Lyle, Minn.
1899-03-31 - Roger Gibson has bought a lot west of Larson Bros. meat market on Grove street. As soon as the weather will permit Mr. Givson will put up a fine brick-veneered building for a barber shop and bath room
1908-01-03 - Business Changes. ...Another change was at the Gibson barber shop, which was sold the James McCabe, who formerly worked in the shop for Gibson for about two years...R. P. turns the business over to his successor next Monday after a stay of sixteen years in the shop.