T8s in front of a rock

[blackaces13]

If this guy really is a rock, and not just an extreme TAG, then he checked the turn because he's afraid his overpair is no good and he's looking for a cheap showdown. I would not bet this river because I don't think there is much to be gained. I think you are either behind, or are making a bet that won't get called. Obviously he's not folding a better hand either.