I got reply:
Dear valued customer
I am sorry to inform the ETH network is under heavy stress at the moment and some withdrawals are not being broadcast correctly.
Rest assured we will rebroadcast your withdrawal as soon as possible, thank you for your patience and I am sorry for the inconvenience.
Best regards,
Ian
Poloniex Support
Not looking good, "as soon as possibe" meeans they cannot do now? Why? I still have some eth there. Is it safe to withdraw? So unprofessional cannot believe.
Ethereum transfers are a big issue for some days now. I don't really know what they could have done better.
It's funny to see people not reading around and then complaining about everybody else that they are unprofessional.
Usually such problems were fixed within the day, from what I've read.
Good luck though and don't forget to come back and help the others by telling how long it took for your issue to get solved.