desperate, frantic, mad, undignified (esp. BrE)
There was a mad scramble for the exits.

in a/the scramble
I lost my sister in the scramble for a seat.

scramble down, scramble over, scramble up, etc.
an undignified scramble down the slope

scramble for
a scramble for tickets for the game

desperately, frantically, quickly
They scrambled frantically over the piles of debris.

around, away, back, off

manage to

down, into, out of, over, through, up, etc.
She managed to scramble over the wall.
He scrambled up the stairs.

scramble for cover
We scrambled for cover and hid underneath the truck.

scramble to your feet
He scrambled awkwardly to his feet.

scramble to safety

Scramble is used with these nouns as the object:
egg, helicopter, jet, signal