exploding offer
n.— «A Washington judge then hinted that he could have a job if he was willing to accept it on the spot, but never made a formal offer. Finally, he got an exploding offer from 2nd Circuit Judge Amalya Lyle Kearse in New York, who gave him four hours to decide. He said yes.» —“No Order in Courting of Law Clerks; Judges Trample on Efforts to Rein In Annual Bidding for Students” by Michael Grunwald Washington Post Feb. 16, 1999. (source: Double-Tongued Dictionary)