Clingy boyfriend

We have only been dating one month. When we started dating we hung out like everyday and he also slept over at my place as I did with his , now he does go to college at 4:30 in the morning And doesn't get home til 2 but he comes straight to my house and he insist that he comes with me everywhere I go or wants to join in on anything I do. I feel as if he asked questions all the time and it's like dumb ones so I respond with a dumb answer. And a couple nights ago I told him I think we are spending to much time together I am beginning to be moody not interested and very tired of his company all the time... So for the past couple days I have taken a break he still text my phone numerous times wondering what I am doing while at work... Or that he misses me. Or let's meet up and go to the gym or I'll drive your friend to where she needs to go to make it easier... As if he didn't get my point when I didn't want to see him for awhile but I still feel like he has his eyes on me at all times and doesn't want to leave my sight........ What do I do?