"What about removing them?"

"...That depends on the seal. Dare I ask why you have discovered this sudden interest?"

"I kind of said I wouldn't tell." He's squinting though. He's pretty sure he trusts Kakashi-sensei not to get Chihiro in trouble, but he doesn't know what makes that seal activate... "Also would it be years with clones?"

"You know, I don't believe anyone has ever done experiments on parallelizing learning to seal."

"How about I try, since I said I would, and if I don't make fast progress I'll tell you everything I know?" And probably tell Sasuke too at that point.

"Well. I left the library back at the village, but sealing itself doesn't take chakra. And I have been getting bored. Let's try and see what happens."

"Right! Thanks, sensei."

"Don't thank me yet, we haven't started. I need to plan a curriculum and you need a good night's sleep. Shoo."

"Okay, okay." He bounces off.

The next day, Kakashi will have a first lesson for Naruto. Unless he's changed his mind?

Nope! He's trying on his serious face, even.

Great. So first a very basic introduction to what sealing actually is, even. Sealing is a way of symbolically representing ninjutsu and performing it by proxy. It's kind of like calculus and trigonometry. Say you wanted to throw a kunai at a target. You can use calculus and trigonometry to mathematically determine the arc and speed you need to use to hit the target. Or you could just eyeball it and make the throw in five seconds and not spend five minutes working out the math.But if you wanted to ricochet a shuriken off two targets then deflect a second shuriken to hit a third and fourth target, you might not be able to do it. In that case, it would be worth sitting down and figuring out the theory. So it goes with sealing. For most things, leaving aside explosive tags where the versatility of delayed- and remote-detonation increases the benefit, it's much quicker and easier to simply perform the technique yourself. Most sealing techniques deal with complicated effects, like storage scrolls and summoning contracts and barriers. The increase in effort from the baseline isn't all that much compared to the benefit.

Ahhhhhhhhh this isn't as bad as the magic Sasuke tried to teach him but it's up there.

He doesn't think he'll do well with just theory and memorizing, is there like a thing he can play with that won't explode too badly?

Hm. Well. If he uses a shadow clone and goes out into the woods away from the village, Kakashi could give him a couple low-yield explosive tags...

Ooooh! Please!

Right. Here's two to start with. Try not to knock down any trees. Meanwhile, they can go over some theory.

Alright. He's listening.

...He makes two clones who can also listen. In case he misses stuff.

There are a few different schools of sealing that represent things different ways. In Konoha, most people use what's called Konoha Common Style, which is based on Senju techniques, mostly due to the Second Hokage's influence. It takes the form of a tree, with the small component 'roots' coming together to form the main 'trunk'. Here are some examples of roots for yin and yang chakra, as well as different types of elemental chakra. There are also roots for handseals and other shape manipulations.

The clones sometimes summon and dismiss another if they figure out a thing.

He seems decent with the shapes, at least, and the metaphor - like how a bunch of handseals make a technique, right, or a bunch of ingredients make a dish?

Kind of! But the rules about combining them are more strict. There are certain connectors you use in various situations, which change based on the number of things, types of things, whether things have previously been connected... There are shadows of patterns to the rules, but lots of exceptions and special cases.

More like writing?

Maybe like very, very formal poetry. Except for the parts where it's not like that at all, of course.

Still easier than Sasuke's thing... But yeaaahhhhh gonna be lots of memorization...

He and his clones are willing to throw themselves into it, though.

An eager student is a learning student. Eventually. Good thing they've got a couple days to work with, here.

Nothing they care about explodes during Naruto's adventures in learning, at least.