Is there a Little Snitch-like app for Android OS devices?

Yes, there is.

NetGuard - No-root firewall.

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NetGuard provides simple and advanced ways to block access to the internet - no root required.
Applications and addresses can individually be allowed or denied access to your Wi-Fi and/or mobile connection.

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Blocking access to the internet can help:

  • reduce your data usage
  • save your battery
  • increase your privacy

Features:

  • Simple to use