Slack in new timing chain

Even if the block was line bored and or honed, if done correctly, it will hardly move the crank at ALL. A good machinist will remove more off the main caps than the block. When we did them, we always barely skinned the main saddles in the block...and I mean BARELY. You simple remove material from the main caps, reinstall them and line hone it more toward the caps. At least that's how it's supposed to be done.

That makes sense it should be done that way, and I'm sure it was done right, the shop that did the work has a really good reputation. My uncle and grandpa have gone there multiple times for block work. Could the chain just be slightly larger than it should be? Or I could be worrying for nothing, because isn't there supposed to be some slack? I will try and post a picture or something of the slack. Would it be best to replace the chain with a tighter one? It's only for a street engine after all, won't see high revs often either.