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Related to looking up: Things Are Looking Up
1. To turn one's gaze or attention from something else, often by literally lifting one's head and/or turning one's eyes upward. Can you please look up from that book for a second? I'm trying to talk to you! Kids these days barely ever look up from their phones.
2. To perform a search for some particular information, as on a search engine, in a book, etc. Can you look up the definition of this word for me?
3. To contact someone, typically when you are in the area where they live. A noun or pronoun can be used between "look" and "up." Be sure to look me up if you're ever in New York. You should look up Aunt Maureen when you're out West.
4. To improve or become better. In this usage, the phrase is typically used in the continuous tense ("looking up"). My freelance business is finally looking up—I've had potential clients calling me non-stop!
Appearing as if improvement will begin or continue into the future. Now that businesses have started returning, the country's economy is finally looking up.