It is often used to describe the act of moving or progressing, as in:
* Concurrent: happening at the same time
* Incur: to bring upon oneself
* Recourse: a source of help or support
* Occur: to happen or take place
* Concur: to agree or be of the same opinion
So, while "-curs" itself is not a Greek root word, it's a Latin root word that has a lot of significance in English and other languages. It helps to understand the meaning of words when you can identify their roots.