Yes, I do, and I've been doing art for a long time. Even the other week I was handing in artwork to a client and in my head I was like "uhh I'm going to have to do so many revisions!" and it was fine. They loved it. It's just...kind of the nature of the beast that you get these anxious feelings.
For me the biggest thing is to pinpoint where these feelings are coming from--because it's not just from art, it can come from a fear of failure, a fear of being made fun of (I mean comics aren't really considered high art), a fear of being ignored, a fear of your own art peers, even.
And so when I write these feelings down I can assess where it's coming from, I can ask myself if these feelings are even true and backed by fact (they're usually not), and I can talk back to them, basically--because even though these feelings happen, you have to overcome them to progress. So while I still have these feelings, they're more fleeting than they used to be. I'm quicker at shooting them down.