The phrase "gotten measure of" means to have a good understanding of something or someone. Some synonyms for this phrase include, but are not limited to: grasped, comprehended, understood, perceived, discerned, apprehended, fathomed, mastered, and assessed. These words convey the idea of having a complete knowledge or comprehension of something. Other related phrases that express a similar concept include "figured out," "got the hang of," and "gained a handle on." Using these synonyms in place of "gotten measure of" can help add variety and depth to one's writing or speech.