Unless you’re constantly texting and trying to hang out 24/7 or pushing boundaries, you’re probably fine on the clingy part. Make plans invite your new friends. Chances are they’ll appreciate it and the worst that happens is they say no and are still friends with you. There’s generally quite a few warnings before people just stop being friends and it oftentimes includes some form of them saying why. Until that happens, put the effort in, talk to them, do things with them. You’ve got this.