REMAKE (4 letters) The term 'Construct Anew' can be broken down into two crossword solutions: REDO and REMAKE. REDO means to do something again, while REMAKE means to make something again. This phrase is often used in the context of rebuilding or renovating something that has been damaged or is outdated. It can also refer to the process of creating something from scratch. Constructing something anew implies that the end result will be better than the original.