Indicates the speaker wants to keep something private without being rude. Why are you so late? - Never you mind, I'm here now.
Pro Tip 2/3
Dismissive Tone
Can sound dismissive or imply the issue is not for others to deal with. Never you mind the finances, just enjoy the party.
Pro Tip 3/3
Softening Effect
Often used to soften the refusal or denial of information, making it less blunt. Can I come with you? - Never you mind, it's something I need to do alone.