No, clone doesn't affect that, it's fine to use it. Have you tried the SQLite gossip storage, instead of the in-memory one?
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@reya in addition to the SQLite gossip store, also this PR should help: 
If you have the opportunity to test it, let me know if it's faster.
GitHub
sdk: improve gossip concurrency with per-key semaphore system by yukibtc · Pull Request #1250 · rust-nostr/nostr
Replace the global single-permit semaphore with a per-key semaphore, improving updates concurrency.
Add unit tests to ensure the system is deadlock...
I cannot use sqlite yet, because it's depend on tokio