I assume you are applying to a junior faculty line (your use of "full professor" would suggest senior faculty but this is belied by the rest of your post).
After they make the short list, we commonly ask junior faculty who do not yet have a research monograph to submit their dissertations. We do this for several reasons:
- If they are ABD, it is an easy way to ascertain whether they will complete. If it is March and they say they are submitting in April and they only have 3 chapters, then we know to be cautious.
- If they are recent PhDs, then often the PhD is the only piece of research writing that they have in their dossier. It remains one of the best gauges of their research competence until they complete more publications.
After responding, I looked at your profile and it seems that you might indeed be applying to senior positions. In that case, I'd be puzzled too -- unless you don't have many publications and/or your dissertation was at a university that is not well known. Or, alternately, the institution you are applying to has not had much experience with senior hires, and is defaulting to the junior practice.
Personal Aside: I'm a tenured associate. If I applied for a full position and they asked for my dissertation, I would be puzzled but not be offended IF
they had also asked for everything
on my CV. I would assume they are just being extremely meticulous in making my case to the Provost for the senior line. But if they asked for just a few of my publications and
my dissertation, I might tend to becoming annoyed (by the insinuation that my PhD was suspect).