Welcome to Ducklings! You're a duck now. Swim around and search for lonely lost ducklings. By bringing back ducklings you'll be rewarded with upgrades to your nest and new hats! Relax, swim around and have fun.
The Ducklings servers store basically all data you provide, your name, IP address, moves you make and things like that. This data is only used for gameplay. What you're probably concerned about is privacy related to third party vendors, ads and stuff like that.