Are you sure it's not My Lucky Star? The storyline is so very similar with the one you described above. Rich guy, wanting to be a racer and a poor girl. They are later on separated for 5 years.
Here's an excerpt of its synopsis:
Tian Qi is a passionate and skilled racer and helps to save the residents of Tomorrow Town (Ah Xing's hometown) from the gang led by Fa Ge, where he is seen as a local hero afterward. After Tian Qi is brutally beaten up when they aim to seek revenge on him, Ah Xing agrees on Tian Qi's father's orders not to see Tian Qi anymore when she sees how much pain he has had to suffer because of her. Tian Qi is told he cannot race in the future due to a broken hand.
And here's the cute picture of the main couple holding a chain that's connected to each other: