Takemichi's time-traveling ability in the anime "Tokyo Revengers" impacts his sense of self by allowing him to reflect on his past actions and decisions. This ability enables him to revisit pivotal moments in his life and make different choices, leading to personal growth and self-discovery. Through his time-traveling experiences, Takemichi learns to confront his fears, regrets, and insecurities, ultimately shaping his identity and helping him become a stronger and more determined individual.