I've never thought of it that way, when you say "I'm afraid of getting attached to things, people. etc" that is because you're really afraid that you'll ever be detached from them. We as humans, are so easily attached to basically anything in our daily lives, as simple as the sofa we sit on at home everyday, the car we drive for years.
But I guess nothing on this earth, is ever really ours. We came to this place, with nothing, but the question is - how did we get so attached to everything?