Is exclusive with no title a thing?

I did this once in college. The guy I was sleeping with had asked me not to sleep with other dudes while seeing eachother. That wasn't my style so wasn't a big deal, but that was about 7rs ago, and a lot has changed in dating culture. I really like this guy I've started seeing, like a lot. But I just got out of a relationship and am not emotionally ready to get into a new relationship. But at the same time I don't want him going anywhere. I want to ask him if he'd be willing to be exclusive but also give me time before we dive deep I to a relationship.

I just want to make sure I go in with a clear mind and whole heart.
Is exclusive with no title a thing?
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