No, not here in Ireland. I’m a dual Irish/US Citizen.
In Ireland I’ve only ever encountered PPS Number.
In the USA (and American matters) I’ve encountered both TIN and SSN but I only have the latter.
(The UK is/was National Insurance Number and Australia is/was Tax File Number.)
These are the only ones I’ve experience of.
The OP refers to “TIN”. I don’t know if they are referring to Ireland, elsewhere, or in general.
The tangents start with the second post.