1
general::
Quickly, without delay, as in The children got ready in short order to go to the mall. [First half of 1800s]
American Heritage Idioms
2
general::
Phrase(s): in short order
very quickly. • I can straighten out this mess in short order. • The maids came in and cleaned the place up in short order.
McGrawhill's American Idioms And Phrasal Verbs