PLONKET is a real word in exactly one house
A single household noun, invented for a thing with no other name, exists for exactly as long as the four people who use it keep living under one roof.

PLONKET, arched across the chest in big cream brush capitals. Underneath, small and letterspaced: NOUN. THE THING FOR THE THING.
Nobody outside this house has ever heard the word. Everybody inside it uses it correctly, without thinking, several times a week.
What does PLONKET actually mean?
Whatever the household needed a word for and never had one — the printed definition admits as much rather than pretending otherwise.
THE THING FOR THE THING isn't a joke definition; it's an accurate one. Every house has an object like this: the clip nobody named, the corridor with no proper term, the small tool that lives by the back door and does one specific job. At some point somebody in this house needed to refer to it faster than a description allowed, and PLONKET is what came out.
Why is a household word a noun rather than a private joke?
Because it names an actual object, and gets used correctly by everybody, rather than being trotted out for a laugh.
A joke gets told; a noun gets used. Nobody in this house says PLONKET for effect — they say it because it's shorter and more exact than the real word, on the rare occasions anybody remembers what the real word was. That's the same unspoken authority that decides which mug in a cupboard belongs to somebody without a label ever being added: nobody voted on it, and everybody complies anyway.
Why print it enormous and alone, with a straight-faced dictionary line underneath?
Because that register treats the word as real, which it is, inside this house.
A dictionary entry doesn't apologise for the word it's defining or explain why the word exists — it states the part of speech and the meaning, flatly, the way it would for any other noun in the language. Setting PLONKET the same way, at full chest size with nothing crowding it, gives a made-up word the exact same authority a real one gets.
A different exercise from a chosen word
It's also a different exercise from a single word chosen deliberately to carry a whole shirt — that word gets picked for a reader's benefit. PLONKET was never picked at all; it just arrived.
How is this different from a family motto, or a word the reader is meant to complete?
A motto is written on purpose, by people deciding what to say. Nobody decided PLONKET; it just started happening.
A family motto gets chosen deliberately, in a handful of words, to state what a household stands for — somebody sat down and wrote it. PLONKET was never authored; it arrived through repetition and simply never got corrected. It's also not a puzzle for a stranger to solve, the way a fill-in-the-blank phrase invites a reader in — there's no way to guess it and nothing gained by trying.
What about rights?
Nothing here is borrowed. A word one household made up for its own use belongs to nobody but that household, and there's no existing entry anywhere to license.
The sign-painter lettering and the dictionary-line format are both open conventions — nobody owns the idea of arching a word across a chest or defining it underneath. What's actually being printed is a household's own invented vocabulary, which is the household-sized version of a community printing its own private phrase for the people who'll actually recognise it.
Does this work for two people rather than four?
Yes — a language needs at least two speakers to exist and doesn't need many more than that.
Two people living together invent this kind of word just as often as a household of four; there's just nobody else in the room to keep it in circulation on the days one of them is out. The count on the shirt should be whatever the real number is, not a round figure borrowed from somebody else's household.
Does it print well?
Yes — it's built for exactly this kind of legibility already, being sign-painter lettering rather than a typeface trying to imitate one.
Cream on a deep red ground holds the brush strokes crisp at chest size, and the small letterspaced sub-line stays readable as long as it isn't shrunk past the point where the gaps between letters close up. One ink for the word, a second for the smaller line beneath it, is enough.
How do I get one made?
Describe the word at JustOG — what it means, what it replaced, and how many people speak it.
Pick a direction, drag the crop frame, see it composited on the real garment, and it's made to order and shipped.
Designs other people have published are in the shop.
Say PLONKET outside that house and get a blank look back. Say it inside and somebody just hands you the thing.