I had the same thing happen with my car. The entire car was repainted last fall.
I can't tell you about claying right away but I can say that you shouldn't apply Zaino to your car's paint right now. 6 weeks is the minimum for the paint to cure. This is very important! I'd wait at least 3 months. With my repainted car it was 4 months before I applied any Zaino (or any sealant or wax!) because it was stored for winter shortly after I got it back. In the springtime I clayed and Zainoed it and it looks great.
You can use a glaze such as Meguiars #5 or 7 or 3M Imperial Hand Glaze, which is what I use on the hatch on my other car. With my other car, the hatch was repainted in April and only now am I planning on putting NXT on it. Up until now I've been using IHG on it and did clay it last month and it was fine.
