Sorry for your loss, but this was not an issue with Hive Keychain (the keys are stored only locally).
What happened is that you posted your private key to the blockchain when withdrawing HIVE from Binance. Please be more careful in the future so this won't happen again.
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When I was new I remember I almost posted one of my keys into the memo. Mouse was hovering send and I realized what was about to happen and almost had a heart attack haha!
It's a shame that most people end up not catching that mistake and find out from getting hacked.