As someone on the autism spectrum, you don't give him the safespace. If he can't put up without a interview safespace, he probably can't put up without a safe workspace.
What does that mean? Not sure, but I imagine it is someone who criticizes his work, or gives suggestions/opinions. On top of probably having a very certain kind of setup that your regular SE's wouldn't get.
People on the spectrum or not go 2 ways, either we (try to) conform to society or we are entitled and make demands. Making demands like this for an interview is a huge red flag.
Edit:
If the accommodation is trivial accommodating that is fine, but this is someone asking for an interview safespace. There are no safespaces for a place you've never been to before. A safespace is a place you are both familiar with and feel safe in. Not only that, but safespaces are places where you are not judged... Guess what happens in an interview... You are being judged by an interviewer.
There is a certain threshold of conformity required autistics or not to be able to work in an office and with others and there is a limit on how accommodating a workplace can be. I actually have doubts that the candidate is an actual Autistic. As Autistics wouldn't normally ask for safespaces. Its not so much that they cant walk in and attempt to participate, but more so that others have trouble with their oddities. If anything Autistics would give a heads-up as to their peculiarity and not give demands. Autistics =/= Social Anxiety. Social Anxiety is a separate thing.
ex.
No fragrances- ok
No animals/insect: toys or real due to phobias- sure
No suggestive photos/calendars- alright
Calming pillow/figure/toy/blanket at desk- sure why not
No microaggressions- way too subjective- red flag
No judgement- unable to take criticism- red flag
Will only talk to/work with/interview with ppl of a certain color/orientation- red flag
Edit2:
Sorry after reading a few other things, I think I need to clarify that I am mostly referring Aspergers and not the wide encompassing Autism spectrum. Also by Aspergers, what I mean is a the lack or inhibited ability to read the room, instinctively empathize/sympathize, understand nuances like when I should drop a topic, bringing up unrelated topics out of the blue, etc.