The problem is that it might be a little weird if he gives her a gift and they end up breaking up.
Why is that weird? It happens the world over, every day.
A friend of mine had a shelf full of stuffed animals given to her by guys she had gone out with
Obviously she saw value in keeping them. However, she was certainly under no obligation to do so and if she wanted to get rid of them, she could have simply thrown them out, donated them, etc.
The Wolf