what does "none taken"here mean?
“He doesn’t have time to waste on underlings. He’s too important. I get him.”
“Yeah, he made that clear,” Mike agreed. “So, he comes in later that week. Expensive suit, two-hundred-dollar haircut. He’s got that enti-tled, prep-school superiority all over him. No offense, you probably went to one.”
“I did, and none taken. I know the type.”

Question

what does "none taken"here mean?
“He doesn’t have time to waste on underlings. He’s too important. I get him.” 
“Yeah, he made that clear,” Mike agreed. “So, he comes in later that week. Expensive suit, two-hundred-dollar haircut. He’s got that enti-tled, prep-school superiority all over him. No offense, you probably went to one.” 
“I did, and none taken. I know the type.”

Answer

"None taken" is in response to the comment "no offence". Sometimes you might hear "no offence intended" too.

Or in other words:

"No offense": "I don't mean to offend you" or "I don't mean to upset you deliberately" 
"None taken": "No offence taken" or "I didn't take offence" or "You didn't upset me."

The first speaker described a stereotype before he realised his companion could fit the same description, so he said "no offence" as soon as he realised to not cause upset.

Hope that helps!

لا تفوّت فرصة تعلّم لغة جديدة وأنت مرتاح في منزلك. تصفّح مجموعتنا المختارة من مدرّسي اللغات ذوي الخبرة وسجّل في درسك الأول الآن!