Well no, the little arrow in the right is for skipping a characters turn, you know if you want to hold on to your chips for the next round or if you don't have any
After you click it you will need to click your character again to actually pass their turn (there is suppose to be a floating arrow above the current player's head). I just updated the description, feel free to read that as well. Thank you so much for your feedback, I wanted to have a tuturial about all these thing but unfortunately didn't got enough time.