If it's deposited or cashed by a depositor you retain your right of offset. The sticky part is that they tend to come back weeks or even months later - often after the funds are long gone.
Items cashed for non-customers are still enforcable against that individual, assuming you can find them. The one advantage you have is that the recipient's address is usually printed on the PMO.
If you approach life with pure logic you can avoid almost all of the fun.