No, he doesn't. The Tokyo Revengers manga doesn't have Takemichi's death. Instead, he plays a crucial role in the unfolding events and continues to be an important part of the story.
The mystery around his speech. Since Toge Inumaki can only speak in onigiri ingredients, fanfics that try to dig deeper into how he really feels and what he wants to say but can't in the normal way are always interesting. It gives the writer a chance to be really creative in showing his internal dialogue.
One great toge inumaki fanfic is 'The Cursed Words of Toge Inumaki'. It delves into his character's struggle with his unique form of communication and his relationships within the Jujutsu Kaisen world. The author does a wonderful job of showing his inner thoughts and emotions despite his limited speech.
Takemichi's time - leaping ability in the Tokyo Revengers real story is quite unique. It doesn't seem to follow a set pattern like in some other time - travel stories. As I said before, emotions play a big role. But also, it's not something he can fully control. Sometimes it happens unexpectedly. For example, when he's in a dangerous situation and his mind is focused on going back to change things, he is suddenly transported back. This ability is what drives the whole plot as he uses it to try and make a better future for his friends and Hinata by changing the past.