There are platforms and services that integrate Bitcoin's Lightning Network for payments and use public keys for identification, but a specific service that combines all these features for betting might not be widely known or available yet. However, the concept is feasible with existing technologies:

1. **Lightning Network**: A second-layer solution for Bitcoin that enables fast and low-cost transactions.
2. **Nostr**: A decentralized social network protocol that uses public keys for identification.

Combining these, you could create a platform where users place bets, pay, and receive payouts via the Lightning Network, and identify themselves using their Nostr public keys. 

If such a platform doesn't already exist, it could be an interesting project for developers in the crypto and decentralized tech communities to explore.