Not at all. In fact, my most popular gig offers zero free revisions. My clients can certainly purchase more work (a purchased custom revision) if they wish (and some do), but I refuse to give away my work for free. I am very good at what I do, and my work proves this, therefore, there is no reason for me to offer free revisions.
I would say no, and Fiverr supports my right to do so. Every buyer has three days to decide whether more work is necessary on what was delivered. If they chose not to do so within three days (which is more than enough time to assess a delivery), and the order is auto-marked as complete, then I no longer owe that client anything. An order marked as complete within the system is a completed transaction. Order finished.
As an example of this…
Not too long ago, I actually had a client who had ordered a logo. I completed that logo, and delivered it as requested. After delivery, there was no response from that client, and three days later, his order auto-completed. About a week later, the client sent me a message and said he wanted changes to what I delivered. I reminded him that he had had three days to ask for additional work, and did not do so. His order was therefore complete, and I was not obligated to provide any further work. In other words, his one revision option expired when the order auto-completed.
A day or two later, a CS representative contacted me, and encouraged me to provide a revision, because the client’s order terms did allow one free revision. As the CS agent noted, though, I was not obligated to do so, because the order was, indeed, marked as complete… “but, it would be a nice gesture”.
In the end, I agreed to make a minor set of adjustments, and delivered those minor changes in a message, as the CS agent encouraged me to do. The client was happy with the courtesy changes, and he went on his way.
So, no, according to the CS agent I talked to, buyers are not obligated to get more work after an order is marked as complete. My noted instance seemed like it was more of a, “please consider doing this for him so that this buyer stops pestering us” request from CS.
When an order is marked as complete, your required responsibilities to the buyer end. It is the buyer’s responsibility to pursue additional project needs – according to the terms of his/her ordered service – before the order is marked as complete.