The term 'HEAVE UP' can be solved by three different crossword solutions: RAISE (5 letters), HOIST (5 letters), and HEFT (4 letters). All three words refer to the act of lifting or raising something, usually with effort. To 'RAISE' something is to lift it up from a lower position to a higher one. To 'HOIST' something is to lift it up with a rope or pulley. To 'HEFT' something is to lift it up in order to test its weight.