I've told that Lykke is one of the fastest exchanges/wallets out and i've decided to give it a try. So, i bought some ETH yesterday. My ETH is visible on my wallet but in the transaction details, it says "in process". It's been more than 30 hours but still no progress. Also they're not responding my mails, they're just sending auto-replies.
I'll be posting updates here to inform new comers and potential Lykke users.
TLDR; Still waiting to have ETHs that i bought.
I'll continue to update here for every 24 hours, so people can follow up progress.
It's been more than 54 hours since i've bought some ETH by selling (giving) USD. USD transaction settled up immediately to the Lykke system but ETH transaction to my exchange wallet seems "in process" since then. (Yes, 54 hours)
Thanks to
mtnsaa, helped me to speed up support by contacting support team and they have sent an email that says basically "Dev team will resolve your issue". Actually i was trying to have an idea about how fast Lykke resolves transactions, now i have more than just an idea.

It's been more than 100 hours(!) and no progress. Also it's hard to find someone when you have issues, fyi.