Instead of clicking, the core mechanic is a claw game where you launch the claw into various biomes to collect themed items. Sometimes when you're retrieving an eyepatch from the pirate dimension or whatever, it says "inventory full," which implies there's an inventory interface I haven't found. This is plausible because it took me days to figure out that you can swipe left to get to the screen where you send your collectible animals on adventures like "Fight cavities" or "Learn to ride a bike."