The other night, playing in a tournament, about 50% gone, I am above avg stack. I get dealt KK under the gun. ( the table had varying chip stacks )
Instead of the normal x3 or x4 raise, I simply called. And would have called a push all in from a low stack, other wise I will treat myself to raising the flop.

this is how it played out
*** FLOP *** [Ts Ad 5s]
K1n9 K0n9 checks
Lucky Queen checks
Assistanc3 checks

*** TURN *** [Ts Ad 5s] [Ks]
K1n9 K0n9 bets 240
Lucky Queen folds
Assistanc3 calls 240

*** RIVER *** [Ts Ad 5s Ks] [4s]
K1n9 K0n9 has 15 seconds left to act
K1n9 K0n9 checks
Assistanc3: nh
Assistanc3 has 15 seconds left to act
Assistanc3 checks

*** SHOW DOWN ***
K1n9 K0n9 shows [5c As] a flush, Ace high
Assistanc3 shows [Kd Kh] three of a kind, Kings
K1n9 K0n9 wins the pot (1,400) with a flush, Ace high
*** SUMMARY ***

now the King on the turn looks really good for me right? ( thats why I had to call )
I doubt he was holding a King himself, so I had to put him on slow playing A rag or a set (Tens) and hoping I caught up.
........but the king could help in the draw ( straight or flush )

After he checked the river, notice how I say nh, even before the cards are shown. There was no way it would have been smart to bet the river.

A case example of how to slow play, and let a big hand go