“What’s your take?” is a question people sometimes ask when they want your opinions on a subject at hand. Sometimes it also mean they are actually asking whether you agree with them. If you were to agree, you get the opportunity to paraphrase their opinions. If you were to disagree, the phrasing is such that you aren’t forced to start the response “No” as would be necessary with the question “do you agree?” (or risk not actually answering the simple yes-or-no question).
It’s an opportunity to create an engaging discussion without confrontation, a question worth pondering over for a few seconds before answering.