Motor rebuild

Got a question for you guys. I am rebuildng my 340 engine and when I reinstalled my timing chain it was very sloppy, the chain has more play than I am comfortable with. When I rebuilt my 440 it was tight. I ordered my rebuild kit after the machinist told me the over bore on the motor,crank and rods. So I am very concerned with the timing chains being so loose. I've even ordered another timing chain set from another vender and got the same results. Is this a problem or is this the norm for the 340s? Thanks in advance Tony