For some reason I'm unable to raise the image from the URL posted. I presume that, from a careful examination, there are no markings to indicate maker/seller, no tiny "France" or "Made in France." Your description suggests a simple type of telescope that could have pre-dated the war or come from Asia last week. Weight, workmanship, optics might give a hint whether this was a gentleman's "sporting glass" or meant for serious business. If re-enactment is your intention, I'd think of this (present it or defend it) as an individual's own purchase or acquisition (especially for an officer) and have no qualms about showing or using it. It would have been a bit of a rarity for an enlisted man (especially if his senior didn't have one -- a better one).
By contrast with use in a cavalry recon patrol, a cavalry or cavalry-associated signal unit should have had a heavier, more powerful telescope (on the order of 25-30X magnification) with objective (the "larger end") lens of about 2 - 2 1/2 inches, requiring a mount of some type to support and steady it -- not the sort of thing for easy carrying or holding. Topo engineers and senior officers may also have had awkwardly heavy, but more "high definition" opticals, which a line officer would probably have set aside for field glasses. Perhaps this can give you a "feel" for the 'scope you have and how it might reasonably be displayed.