CAN I USE 1989 454 HEADS ON A 1996 454 BLOCK

SOME SAY NO AND SAY YES. I HAVE A LIFTER TIC NOISE USING THE ABOVE COMBINATION ON A NEW REBUILD. THANK S" I rebuilt a 1096 454 chevy motor. I used 1989 454 heads, engine runs good but has a lifter tappet noise. Some people say can't use 89 heads on 96 block, will this make a difference. Thank you