I'm going to be overly clingy and protective around you.
Why are you going to be so clingy? Do you like me a lot?
Yes, I just want to be there for you
Its not a great idea to obsessively be around someone. Everyone needs their space at times, as without it the person may not have a chance to clear their thoughts.
I know you need your space, but I want to be able to help you. What do you need me to do for you?
It's nice that you care, but it's wrong to be overprotective of someone who has asked you not to. It will likely backfire and you'll lose the person.