Welcome to logo tournament, and thanks for a minute of your time....
Here are three entries that I think may fit your needs. They all have to do with "connecting" and "linking" in a visual way. The puzzle idea simply states that you are the missing piece that they need to complete their puzzle all while still having the "link" theme.
Entries: #27 #28 #29
Please feel free to provide feedback and suggestions, by clicking directly on the entry.
Paul Tilly
Tilly Design