The term 'WORK ON THE EDGE' can be summarized by two crossword solutions: HONE and WHET. HONE is a verb meaning to sharpen or refine something, usually a tool or skill. It is derived from the Old English word 'hōnian, ' which means to sharpen. WHET is also a verb meaning to sharpen or make more intense. It is derived from the Old English word 'hwettan, ' which means to sharpen. Both words are used to describe the process of sharpening an object or honing a skill.