uh 时间牵住我的心 在跳 My take on it: 1) keeping the tone of urgency of "每刻每分每秒 时间在走吧 go go" 2) could expand to 2 sentences (时间牵住我的心) (我的心在跳) 3) with a final meaning of Time pulls on my beating heart OR 4) Time pulls on my heart; it still beats. Certainly not a strong logical connection to the theme of "Please come back, baby; I was wrong" or even to the nearby phrases,, but hey, it's a "love song", and what have (erotic) love and logic got in common?

1. Pop song lyrics do not have to make sense, and they often do not. 2. Pop song lyrics often disregard grammar and writing rules. Pop songs are music, not essays. 3. "曾经的我没有办法左右自己" 他大概想说: "当时的我控制不住自己。" 左右就是"控制"的意思。Your understanding is correct. 4. "时间牵住我的心 在跳" This is unclear. It is either deliberately unclear, or the lyricist just ran out of ideas. One interpretation could be this. "Time" is often a code word for "memories" and "change". It could mean both here. "Time has left its mark on me. I have changed. I did change and leave you. What remain in my heart are memories and regret. The memories and regret beat with ny heart: they are still vivid and have not faded." It also means that he will continue to change: 他的心永远随着时光的流逝而变，谁也控制不了，昨天如此，明天也会如此。This interpretation is really giving the lyricist the benefit of the doubt and assumes that he can write something coherent. 5. The fact that pop song lyrics are often badly written does not need to prevent us from enjoying them. We are free to enjoy bad writing and meaningless words, especially when they are set to an easy melody and sung by a sexy singer. It is perfectly fine to enjoy low-brow trash. We are just human beings. There is no need for us to be saints. We eat trashy food, make friends with trashy people and listen to trashy songs. That's life.

Actually a lot of Chinese people do't like the songs of Huang Zitao because the lyrics are so bad. And personally I don't think it's a good way for you to learn Chinese by this kind of songs.