The limit is practical, not legal. (IANAL).
In practice, the law is not trying to 'get' people who innocently receive stolen money or goods. In the example you gave, it would be up to prosecutorial discretion what to do; trying to claw back one salary's worth of already-spent money is probably not worthwhile.
But if someone shows up and tries to deposit a couple grand worth of marked bills, they can expect to be taken into a police station for questioning, and should fully cooperate: this makes it unlikely that the penalty will extend further than confiscation of the stolen cash.
The important thing to realize is: if any of this goes to trial, the prosecution only needs to prove that the money is stolen. It doesn't need to prove the receiver knew it was stolen; that's not what the crime is here, that knowledge makes it a worse crime, accessory to robbery.