Of course it's fine if both flights are on one through ticket: fine meaning you'll make it if things go to schedule - and if they don't, the airlines will take care of you.

If you are on separate tickets then it's in the laps of the Gods: you really should give yourself a longer buffer time between flights. But you could probably help things along by using online check-in, and travelling with only carry-on luggage: maybe even book yourself a refundable award ticket for a later second leg.