"State in Us behind judge imprisoning the first lady" -s-e-e-a--
"Running around university fellows needing answer for unknowable things" n-----a
"Perhaps crawl right to the bottom" s---e-
"Performing dutyslip in an embarrassing maner" s---I-L-
I just checked and it says that "nine clues lead to 7 29, not further defined", so perhaps the definition is indeed missing deliberately, but I've not solved the crossword myself so no idea. Still, I suppose I now have four answers so I might get cracking!