Relative noob here. I searched the forum but couldn’t seem to find anything fsr.
Safex will run on top of the Safe network, which is currently in testing.
I don’t have inside info, but;
Nobody can say when the Safe network will go live running from people’s individual computers instead of rented servers, but it sounds like at least a few weeks / months work until that happens, with just a minimal feature set (see weekly dev updates on Safe forum to find out more).
It’ll then be a while longer for SafeCoin (Safe network’s internal currency), Structured Data (editable data on Safe network), and compute ability to come to the network, and I think some or all these may be required for Safex to function.
So, from my uninformed perspective I’d say don’t expect anything live & stable for a good while, but keep in touch for updates & you’ll see as it gets nearer.
Could be 3, 6, 12, 18 months? Who knows 
Now Daniel / others can give you a much more informed answer 
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Thanks man – this makes sense.