Pictures would help, but I don't think what you have is delamination. Might just be grains lifting, and what you've done is exactly right. Rubber bands work better than clamps. Better yet, try cutting thick strips from an old bat grip (3/4 - 1 inch wide) to get more uniform pressure over longer cracks.
Delamination usually happens in the middle of the bat face, usually at the sweet spot or higher up. The tricky part is there are no cracks in the face through which you could apply glue. You have to create an artificial opening or just let it be. I make a very thin slit along the grain using a knife and force in the glue through it. PIA to fix, that's for sure ...