Xjyuk

After googling, I'm not really sure what exactly it means. I have two conclusions:

1. It means that I don't remember an easy word or a name right now although I already know it and I was able to remember it any time in
   the past. So I'm like It'll come to me.

.

2. It means that I was about to say something but someone else said it faster than me. I didn't forget this something at all. I already
   remember it but someone said it before me.

Which one is correct? Is it about forgetting or speed?

"I have a word right on the tip of my tongue" means I can almost recall it but am not able to do so. So, like in your first example.

If something that you want to say is on the tip of your tongue, you think you know it and that you will be able to remember it very soon. (Cambridge Dictionary)

In your second example, when you intend to say something, but someone says it before you, you can say:

You took the words right out of my mouth. (Thefreedictionary.com)

To have something on the tip of (one's) tongue is quite aptly described at

the free dictionary as Almost able to be recalled.

and at

the cambridge dictionary as
you think you know it and that you will be able to remember it very soon

So, your assumption 1. would fit.

"On the tip of the tongue" means you are about to say something but the words have yet to be said. It can be used in multiple ways, including in the sense of both of your examples.

From the Collins dictionary,

"on the tip of someone's tongue" can mean

1. almost said by someone.

2. about to be said, especially because almost but not quite recalled.

Your first interpretation of the idiom involves the second listed meaning. The sense of not actually remembering how to express what you want to say is typical and probably the most common usage but need not always be the case.

The second interpretation of the phrase in the post involves the first meaning, but the connection with speed may be inherent if you decide to stop saying something that was about to come out of your mouth.

Some examples:

• "It was on the tip of my tongue to say the same thing but you beat me to it!" - which shares the meaning of "You took the words out of my mouth",




• "It was on the tip of my tongue to say something but decided keeping quiet was a wiser choice."




• "Oh look, there's an ... um ... err ... you know ... what do you call it? Its name is right on the tip of my tongue."

In addition to the above, the expression can be used in the past tense if you were about to say something, but decided not to. For example,

The words were on the tip of my tongue, but I decided at the last minute to keep silent.

It's kinda both. The expression describes the sensation of almost remembering something. If you take a computer as an analogy, it's like you've managed to find the file the word is in, and you've double-clicked to open the file, and now you're waiting for the computer to access that part of the hard drive and open the file. You know how sometimes when you try to open a file and the computer kinda freezes for a little bit? "on the tip of my tongue" describes that sensation of the information almost being accessed. With a computer, this could just be a temporary thing, such as your computer needing to spin up the hard drive, or there could be something wrong with the file, and it never opens. Similarly, something "on the tip of my tongue" could mean I need a few extra seconds for my brain's "hard drive" to "spin up" (metaphorically speaking, of course), but it could also be followed with completely failing to remember what I was looking for.

The phrase refers to a moment in which you can't remember. If that moment is followed by you remembering the next moment, then the overall effect is that it takes you longer to remember. If it's not followed by you remembering, then the overall effect is of you not remembering.