That particular one comes with a set of legs etc., correct? I think I have one somewhere. That's would be set up in a CP or out in the field either strung into the wired communication system (i.e. field wire) or maybe used as a remote from a RATT/CRTTZ radio-teletype shelter. So as part of a CP type display you'd be good.
Teletype was in the system at least until the late 80s and even later in some cases (countries like Canada had them in reserve units right up through the mid-late 1990s) at least as used in AN/GRC-122 and AN/GRC-142 shelters in combination with AN/GRC-106 radios. I remember seeing a bunch of still-kitted AN/GRC-142 shelters up for disposal at Malmstrom AFB in the late 1990s, so someone obviously still had them in inventory.
Military radio teletype went through a few different iterations, all of which you can readily look up online if you like - with the earlier shelters being the AN/GRC-26 or AN/GRC-19 type, and the later ones being the AN/GRC-122 and AN/GRC-142 types which started life off with the old-school Kleinschmidt-type TT-76 and TT-98 teletypes, and finished up with the fairly modern AN/UGC-74 types in, I think, the "D" and later versions. The shelters had a provision to remote a teletype using WD-1/TT field wire via the front electrical panel and an interface so you could monitor the machine some distance away from the pod either for comfort's sake (say...in a tent with a Yukon stove vs. a cramped shelter), or because you were afraid of getting RDF'd and blown up by arty.
The manual was usually included in the lid of the box that TT-4 came in (pouch? behind a door? been awhile), but if not I'm pretty sure you can find it on the web. It was funny seeing that stuff in use in the late 80s and 90s because it just *looked* so...antique...even if it was still very functional...pretty much how I feel about my own M37