I believe it’s supposed to take up to a week. It seems the verification time varies tremendously, I’ve heard of people getting verified in just a few hours but I’ve also seen it take up to a month.
I would follow up with chess.com support if you don’t have your title after a week.
I submitted the form on Monday and was hoping to be able to play in Titled Tuesday, but I'm still waiting on it. Just curious what the turnover process usually looks like. Thanks.