1
general::
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]
American Heritage Idioms
2
general::
Phrase(s): make a break for someone or something
Fig. to run suddenly toward someone or something; to seize an opportunity to run toward someone or something. • The crook made a break for the cop in order to get his gun. • Max made a break for the door.
McGrawhill's American Idioms And Phrasal Verbs