The Chaining and Hedged prison variants of Binding restrict the subject's movement in quite an extreme way, and prevent other creatures from approaching it. Unlike the other variants, however, they do not remove the need for food, water and air. Does that mean that their subject is practically guaranteed to die of hunger or thirst unless the caster of Binding actively and continuously takes action to prevent that? (Assuming a subject which needs to eat and drink, of course).
Yes... If nobody tries to save them.
With Chaining creatures can approach if the creature approaching passes a will save.
worries me however, given its vagueness. Allies can probably still force the creature to move and if the creature is capable of using spells, anti-magic field works, as does sending a message to someone to get the word out that you need help.
Given that this spell is higher level than Flesh to Stone, Insanity and Finger of Death, combined with being both Mind-Affecting (a tag that applies to oh-so-many creatures at this level) and the possibility of being found using it doesn't make sense from an optimisation point of view; but it would probably cause their death if nobody was looking to save them.
It’s an 8th-level mind-affecting, Will-negates compulsion.
Protection from evil arguably blocks the effect. That’s a first level spell. Even if not, mind blank definitely does, for 24 hours, at the same spell level (and it blocks far more dangerous effects, to boot). All constructs, oozes, plants, and undead have always been immune to it. Everyone else has to make sure that they get immunity to it, because it’s relatively easy to do and the consequences for allowing mind-affecting spells to stick can be worse than death.
For that matter, slay living is a 5th-level spell, and has far fewer descriptors that you can be protected against (requiring death ward rather than protection from evil), and that doesn’t require burning 500(HD+1) gp and a specially-made statuette.
But anyway, yes, someone who is actually dumb enough to have one of these bindings placed on him will die from dehydration.