The cause of the problem was not 'immediately' clear. [=is was not known right away]
They live in the house 'immediately' [='directly'] behind this one.
We need to leave 'immediately'. [='at once', 'right away']
(..) We gotta take care of each other, you understand? Give me that. ...at which time he drew down on me, and I was able to squeeze off one shot... At that time I immediately checked the vitals... ...on both Troopers Brown and Costigan... ...and discovered that they had expired. (..)2006 The Departed