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My commuter runs Schwalbe One tubeless tyres on Ultegra 6800 wheels, each filled with 30ml of Stan's juice.
I recently sustained a 2-3mm sidewall tear, with immediate deflation. Not having a spare with me it was shanks' pony all the way home. The inside of the tyre needed cleaning off with a paper towel, I then applied a regular patch to the inside and filled the small hole on the outer casing with super glue - I've not had any problems since.
I imagine repairing the inside of the tyre with a just regular patch, at the side of the road, would at least get you home.
I guess it goes against received wisdom of keeping things as simple as possible and relying on tried and tested technology à la frame pumps, bar end shifters etc. If you rip a sidewall on a tubeless, it's a messy afair to sort out by all accounts. That said, I'd still want a tubeless compatible rim for off-road funtimes.