Biting and being bitten feels great and isn’t weird at all. I find it usually comes up in the transition between having soft and sweet sex into more aggressive sex. There are many ways you could bring it up during. You could initiate by biting them first, being mindful they may not be into it. Or just straight up ask them to do it. Tease them with your bottom lip, or wherever you want to be bitten, and ask nicely while expressing how excited it will make you.
I find biting to be a huge turn on, and I of course agree with Trouble that it can easily inspire rough play. But it also acts as a way to show your partner how turned on you are, one of my favorite things is when she lays back biting her arm while I’m going down on her or while we fuck. It’s such a simple little thing, but it definitely brings the wolf out of me.