On every interview I went on, I was asked who else at the university (i.e., people in other departments or colleges) I could collaborate with… so have an answer(s) ready.
But in my experience this is not usually something that is requested by the candidate unless they are established, coming in with a strong research record, funding, etc. Maybe not an assistant level person. It seems to be the type of thing that gets offered to you, not requested. Then again, there might be pluses to asking about it. Splitting your assignment helps the department, because part of your salary comes from another department, so they might be interested as long as the other department is willing to consider this. Then again, if they're hiring in part because they need courses taught, giving a part of your time to another department is going to mean you're teaching less in your dept.
If you take the job in just one dept, you can start to establish ties, going to brown bag etc. in the other dept, being on dissertation committeess… some depts reward people with adjunct titles for doing this (but at some places tenure track people cannot be adjunct in another dept). Again, my gut is that this all happens later, but maybe other people have different opinions.