I'll check-raise if its checked to the player in position with 4 or less people in the pot If I think they are just trying to make a stab at the pot, sometimes double and sometimes a 3-bet, this goes especially for LAG's that have position. If they are tight, the chances I do this decrease but I still do it, I'd probably be more inclined to check call a tight person and check call if I'm getting pot odds
with outs to a better hand with more than 4 people in the pot. You could check-raise the position bet, or check raise an out of position bet by an LAG'r thats known to take stabs at the pot.
Know one thing tho, if you check-raise the flop you need to follow up and bet the turn.