I'm going to say that it won't be particularly narrow and Clinton will secure a good amount of delegates. It goes back to her having a better distribution of votes geographically, which is what this caucus is all about.
Sorry to be nitpicking, but I don't think this causus is about that at all. Infact, I think delegate allocation for Iowa is close to being irrelevant. The ENTIRE significance of the Iowa caucus is symbolic. I'm 100% positive that any candidate would rather win Iowa and receive ZERO of the delegates, than come in second and receive 100% of the delegates.