make a break for - Phrases/Idioms
The American Heritage® Dictionary of Idioms by Christine Ammer. Copyright © 2003, 1997 by The Christine Ammer 1992 Trust. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Also, make a run for. Run toward something. For example, As soon as it ended, they made a break for the door, or I'll have to make a run for the plane. The noun break here means “escape,” and both terms may be put as make a break or run for it, meaning “to escape or get away quickly.” For example, With the guards asleep, he decided to make a break for it, or The rain's stopped; let's make a run for it. [c. 1840]