There are really two issues here. First is whether a non-compete can be binding on a part-time employee (and if you can be sued over it). The answer to that question is yes. Non-compete agreements apply equally to full and part-time employees, as well as independent contractors. How often you work is irrelevant. The important part is that you signed it.The second issue is whether the non-compete agreement you signed is valid and binding on you. For a non-compete to be enforceable, it must be reasonable. What is reasonable depends on your agreement and the situation, because there are many factors, such as the length and geographical reach of the prohibition, that that are relevant and will be looked at. The only way you will know for sure is to talk to an attorney who can look over the agreement and help determine whether the non-compete is reasonable and enforceable.Good luck.