It is not for nothing that mathematics (usually) draws a distinction between operations and relations.

Some computer programming languages, not so much.
Here is one thing that can happen, using Python just as a handy example:

>>> 2 == 1 == 0
False
>>> (2 == 1) == 0
True

So, not left-associative.

>>> 0 == 1 == 2
False
>>> 0 == (1 == 2)
True

And not right-associative, either...

What do we call it?
Perhaps "quasi-associative" might fit the bill?
In any case, "anti-associative", "counter-associative", "dissociative", "non-associative", and "pseudo-associative" don't.

Note: the above doesn't happen with irritating silly parentheses ⌫⌫⌫ Lisp's prefix notation.

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