there is no specific time given in the announcment.
I am checking bitfinex every hour, but no wallet or exchange pair for EOS so far...
The EOS ICO phase 1 endet 45 minutes ago. So you should be able to claim your token now.
EOS ICO end phase 1: July 1, 2017 at 12:59:59 UTC.
RE: UPDATED: IOTA/ETH now tradable on Bitfinex + EOS/BTC/ETH trading starts TODAY!