How are you? Here is my proposal for your contest. I created two looping arrows creating a "Z" in the negative space. The two arrows symbolize connecting, like you described in the brief: "connects financial service providers and social networks"
The Z icon works well along with the name or as a stand alone graphic (like a social media icon) one that will be easy remembered.
I checked the websites you provided and all the logo's are wordmark styles, like you asked for in the brief. Are you only interested in this style or also icon apart from the name ZUNGUZ? [icon] - [name]
I look forward to your comments or thoughts. It would be my pleasure to work up any variations.