E.g.:

I am button in 6 handed game with :Th: :Kh:

It is folded to me and I raise, the guy who defends his blind every single time calls.

Flop comes :Ac: :Ts:

Turn is

River is

There are two very conceivable ways this hand could be played.

1) Flop - check, check
Turn - bet, raise, ?.
River - check(if he called) - check.

I have spent 2BB and 2SBs (preflop)

2) Flop - check - bet, call
Turn - check - bet, call
River - check - check

I have spent 1 BB and 3 SBs (a savings of 1 SB).

In both cases you are unsure if your T is actually good or if he has the A (but in the first on with a call you are expecting to lose with a call). The reason I think the play has some value is that you are more liable to get a fold out of your opp in play 1 than in play 2 and those times that you are ahead or do catch a river you get paid off a little extra.