Will anything happen to overdue order?

Will anything happen to overdue order?

Is there any automatic system or anything when it comes to overdue gig.

For example I have a gig which is over 2 weeks overdue. But the buyer keeps changing his/her mind or I am waiting for his/her reply. Buyer said he/she will not cancel the order even though its overdue.

So I just wanted to check if it is safe