Upvote:5
Generally, if an airline is willing to sell you a ticket with a short connection, they're confident that you can make it: otherwise they have to reschedule you on a later flight, and that messes up their seat availability, and they might even have to pay you compensation for the delay.
Of course, this assumes that you do have a single ticket. A short connection is never a good idea if you have separate tickets.
Anecdotically, I have had a 50-minute connection at Incheon, and it wasn't a problem. This was an international-to-international connection, staying in terminal 1. There an airside transfer between the terminals, but I expect it adds some time. If you have to pass immigration, 50 minutes is too short pretty much anywhere.