To see what club you’re currently in and position of your club in Club Tournament, go to main menu - “Career” tab and tap “Club tournament”. On the next screen - select “RC Standing”. Here you should see all 4 club's leaderboard, with your club highlighted and its tournament reward ratio displayed.
Another way is to visit main menu - “Garage” tab and tap “Profile”. Here on the right side you should see your club logo and name.
Related: Can I change the club I'm in