After my verbal offer from the Dean (when they inquired about "partner issues"), I tactfully brought up that my spouse had been wanting to go back and get his masters. They said they could probably help and about a week later came back and said that if he could get in on his own (it was another department so they couldn't let him skip the application process—although they did let him apply way late), then they would pay his tuition & a living stipend. It is a private school so this was a fair amount of money (and very generous). In contrast, a public school that I was also considering an offer from said they could help connect him with the relevant dept at their school and he could get the normal family discount, but nothing "special"… I think this was a private vs. public thing mostly.
So yes, some schools can help with this if you bring it up in a tactful, not-expecting-anything way. Many may be even relieved (that is the sense I got here), because this is an easier thing to help with in a lot of cases than trying to help the spouse find a full-time normal job.
I brought it up seriously during negotiations, but I did discuss my spouse briefly during my interview and mentioned that if we came he would be "so excited to move here cause he had been thinking about going back to school and would consider doing that rather than finding a job right away" (i.e., on his own whether they helped or not). They seemed excited/relieved by this news.