You'll get a notification on your store tile. It'll tell you the count of updates available. Be patient - sometimes it takes a day or two, but your store tile *will* be updated.
Originally Posted by morrisonbrett
It's always been like this and I don't know why. You'd think since it's checking that the phone would tell you immediately, but it doesn't. Go into the app description, back out, then back in again to get the upgrade notice. You can also hit "share" and cancel out and get the upgrade notice. It's been like this for years now.
Originally Posted by Muessig
I usually just wait for the update notice, unless it's a really serious bug in an important app, in which case I do the in-and-out thing to force the update.