There are many synonyms to the phrase "get wise," each with their own unique connotations. Some options include "become knowledgeable," "learn the ropes," "gain insight," "acquire understanding," "develop discernment," or "attain wisdom." Depending on the context in which the phrase is used, certain synonyms may be more fitting than others. For example, "become knowledgeable" may be a better fit for academic pursuits, while "gain insight" may be more fitting for discovering underlying motives or secrets. Ultimately, the choice of synonym will depend on the speaker's intentions and the intended audience.