Pokelike has no accounts and no server-side player data. This page describes exactly what the game stores and what it sends.
Your progress, records and settings are written to your own browser's local storage on this device. That includes your current run, your Pokédex and hall-of-fame records, achievements, challenge and Battle Tower records, and your preferences. It never leaves your browser: there is no sign-in and no cloud sync, so nothing is uploaded to us.
Clearing this site's data in your browser deletes all of it. So does using a private/incognito window, which starts empty every time.
The page loads its own images, audio and code from this site's own address. Nothing about your run is transmitted. As with any website, the hosting provider processes the request itself (for example, your IP address) in order to serve the files and protect the service.
Pokelike is a fan project. Pokemon names and sprites belong to their respective owners, and the project is not affiliated with, endorsed by, or sponsored by Nintendo, Game Freak, or The Pokemon Company.