There isn't a set time that I've heard. We try to get to them asap, but this week I called a couple of people who put their applications in a couple of weeks ago. But then I called one who had submitted it that day. The last 2 weeks were a blur of prepping and writing three schedules so I'm not surprised to hear other stores have applications that are more than a week or 2 old.
If you haven't gotten a call or email yet you are still in their pending or potential list and you should hear something soon. You can also call the store and ask about it. 🙂
(New HRTM as of a few months ago and apparently now I'm an Expert! 😆)