A token on a public chain keeps existing after somebody stops supporting it. "Delisted" therefore covers several situations here, and they lead to different places.
Three separate things can end, and they get confused for each other.
One: the venue stops quoting it
The pool dries up, or the exchange removes the pair. The token still exists, your balance is unchanged, and the contract is still on chain.
What you have lost is a price and a buyer. This is the most common ending, and the one where a number on a screen becomes least reliable: a token with no active market can still show a last-traded price that nobody would now pay.
That is why we publish holders and supply beside price. Depth tells you whether a price means anything, and a token with very few holders was never liquid enough for a quoted price to promise much.
Two: the issuer stops supporting the instrument
The answer depends on the wrapper.
Where an issuer holds a share behind each token, the question becomes what process exists for a holder to reach that share, and on what timetable. Where the token is a debt security, the question is what the issuer's obligation says about termination. Where an SPV sits in the middle, the question is what the vehicle's documents provide.
We are not going to answer any of those for you, because the answers are in specific documents under specific jurisdictions and we would be guessing. This is the scenario the wrapper exists to govern, and the wrapper is published. Read the termination and redemption sections of an issuer's terms before you need them.
The corporate-action mechanic also keeps running or stops running as the issuer decides. If dividends were reaching you as a rising multiplier, that multiplier is a number the issuer updates, and nothing on chain forces it to keep being updated.
Three: the company itself is acquired, delisted or fails
Here the underlying share is what changes, and the token is downstream of it.
An acquisition for cash means the share stops existing and becomes a payment, and how that reaches a token holder is the issuer's process. A company failing means the share goes to near zero and the token tracks it there. Either way the issuer has to do something, and what it will do is in its terms.
Why this is different from a normal broker
With a broker, someone is obliged to handle all of this on your behalf and there is a regulator to complain to about how they did it. Investor-protection schemes may apply to assets held for you.
With a token you hold yourself, you are the one holding it, and the obligations running toward you are the ones in the issuer's document. Four of the five issuers we track are incorporated outside the United States, in Jersey, the British Virgin Islands and the Abu Dhabi Global Market, which is where any such obligation would be enforced.
That is a description of what changed, and it is the same fact from the other direction as "you hold it yourself".
What to check now rather than later
Which issuer your token is from, what wrapper it uses, and what that issuer's terms say about termination and redemption. The issuers page names each issuer and wrapper and links to the issuer's documents.
Holder counts, supply and price are on each stock page where this site has read them, each stamped with when it was read.
Read the issuer's own terms; ours is a summary and a summary is not the document.