Use this tag when ArcGIS 10.1 is the version you are using from the ArcGIS platform.
arcgis-10.1 tag is used to let potential answerers know that you are likely to be trying to implement their advice using ArcGIS 10.1.
The same solutions may or may not work at earlier or later versions so this prevents potential answerers providing solutions you are unable to use. They may not be using the same version as you but they are likely to know whether the advice they give can be used at both versions.
arcgis-10.1 tag does NOT mean that any issue you are asking about is confined to that version.
ArcGIS is a large platform so try to always use a product tag such as
arcgis-desktop in conjunction with this version tag which applies to the platform as a whole.