I would not assume it is safe.
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What would be the risk. The exit nodes can see your unencrypted traffic, but there shouldn't be anything that isn't already being broadcast to the network. (not being a smart ass, I really want to know)
To the OP:
It would be a pain in the ass. If you would like to run through tor, I would suggest whonix instead. Its not amnesiac, but is much easier to build bitshares on.