In the novel "Frankenstein" by Mary Shelley, Victor gives up his freedom to the monster in several ways during the chase scene.
Firstly, Victor is consumed by his desire for revenge against the monster, which leads him to pursue the creature relentlessly, despite the danger to his own life. His obsession with the monster becomes so strong that he is willing to risk his own freedom and safety in order to catch him.
Secondly, Victor's pursuit of the monster forces him to abandon his family and loved ones, leaving him isolated and vulnerable. He becomes so consumed by his quest for revenge that he is willing to sacrifice everything, including his own freedom, to achieve it.
Finally, Victor's actions during the chase ultimately lead to his own downfall. He becomes so blinded by his hatred for the monster that he fails to see the danger of his own situation, and ends up falling through the ice and nearly dying. In this way, the monster gains a kind of power over Victor, as he is forced to rely on the creature to save his life.
Overall, Victor's obsession with revenge and his determination to capture the monster at any cost lead him to give up his freedom in several ways, ultimately leading to his own downfall.