Nice hunt!
Closest I'd seen so far was the free plan by ClickDesk (just hunted it - surprised it wasn't already): https://www.clickdesk.com/compar...
But Offerchat appears to take the cake
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I might be asking too much in free, but without an app, its tough to use it as I am always moving around.
Besides we got 1 year free subscription for LiveChat through f6s
According to their Facebook page:
Offerchat
October 28
Dear Offerchat users. We are no longer offering support for the live chat service. Thanks for your interest in Offerchat. It was a good run!
GrowthHackers
Thinkerous
Emjoyment