Obviously it depends on a number of factors since every situation is very different. however generally speaking, I would think that if you're called all the way to the river and then face a large reraise its usually pretty apparent that tptk is no good. This is obviously villain dependant though, you just need to make a judgement call about weather you are up against some sicko and what sort of range they can possibly be bluffing
with here, I'd say very little in most cases. One way to avoid this situation is to consider taking a pot control line, this way you avoid having to make a call in a tough spot for a huge pot with just one pair, perhaps c/c the river? What stage of the tournament are you talking about where you play these spots and what sort of stack sizes are you talking about. It must be reasonably deep to get three bets in followed by a reraise on the river without being pot committed unless you are betting too small.
Overall I think my answer is that its going to be a decision based off a bunch of factors but one thing yo consider is taking a pot control route.