GIVE A LIFT is an idiom that means to help someone or something by providing assistance, usually in the form of a physical lift. The crossword solutions ELATE (5 letters), HEAVE (5 letters), BOOST (5 letters), HOIST (5 letters), and BUOY (4 letters) all have similar meanings and can be used to describe the act of giving a lift. ELATE means to make someone very happy or excited, HEAVE means to lift or raise with effort, BOOST means to increase or improve, HOIST means to lift or raise something using ropes or pulleys, and BUOY means to support or lift up.