I just sent my I-131 application (for reentry permit) via overnight delivery, but turns out that I need to briefly go abroad starting this Friday for a work emergency. The official Notice of Action (I-797c) would probably arrive at my house while I am still overseas. My question is, will the application be denied if I leave the country before receiving the Notice of Action? (I'm afraid that USCIS would assume that I've abandoned the application by leaving the country.) I should be back in the USA for the biometric appointment.
As I recall, as long as the application has been physically received by USCIS, your departure does not cause abandonment. So, you should not have to worry. But you will need to be back for biometrics associated with the I-131.