Weary-looking is a term used to describe people or things that appear exhausted, tired, or drained. Synonyms for weary-looking include fatigued, tired, exhausted, drained, sapped, haggard, worn-out, rundown, and spent. These words convey a sense of weariness and depletion, indicating that an individual or an object has been through a lot of stress and fatigue. Other synonyms for weary-looking include dog-tired, deadbeat, bushed, and depleted. These words may be used to describe people who have been working for long hours or those who are emotionally drained. Overall, there are many synonyms for the word weary-looking and each of them conveys a unique sense of exhaustion and fatigue.