The expression “to get something off your chest” means to talk about something that has been bothering you or worrying you for a long time.
If your friend has been, for example, borrowing money from you for weeks but has not given the money back to you - has not paid you back - you might say to him, “I have to get something off my chest, because it really bothers me that you are taking my money without paying it back.”Of course, you have to be a pretty good friend to say something like that, but it's a way of saying I am now going to tell you something that may be uncomfortable, or that you may not like, but that has been bothering me.
Chris asks Hannah why she didn't ask the focus groups about the product's color and design.This is what Chris has wanted to get off his chest; he wanted to ask that question of Hannah.
Hannah answers his question by saying, “I can see your point, Chris.”To “see someone's point” means to understand what someone is saying.
If your sister thinks that a television show is bad and you agree with her, you might say, “I see your point.”But you can also use this expression even if you don't agree with the other person, but you understand what they are saying.