The significance of Takemichi's relationship with Hinata in the anime "Tokyo Revengers" is that Hinata serves as Takemichi's motivation and driving force throughout the series. She gives him a sense of purpose and a reason to change his past to save her future. Hinata's love and support for Takemichi inspire him to become a better person and to make selfless decisions in order to protect her and prevent her tragic fate. Their relationship symbolizes hope, redemption, and the power of love to overcome obstacles.