on the jump prepositional phrase2 •(US, informal) In a hurry.Come on the jump. Bring the needful for first aid. It's a rifle shot through the lungs or heart or both. — 1915 •(informal, old-fashioned) Very busy; fully engaged in energetic activity; on the go.My cavalry is on the jump all the time and in every direction, as you know from having seen several detachments, and I will do my utmost to carry out orders and wishes of the authorities. — 1892