a tearing rush
An extremely fast, hurried pace. He flew out of the office in a tearing rush, so I never got to ask him about the software update. Sorry for being so brusque yesterday—I was running late for my daughter's recital and was in a tearing rush.
(be in) a tearing ˈhurry/ˈrush
(especially British English) (be) in a very great hurry: I was late for a meeting and in a tearing hurry.