I believe Teamwork should have the ability to resume the initial sign-in download when connecting remotely.
Currently(AFAIK anyway) there is no way to resume the sign in if the connection goes down half way through downloading the teamwork file for the first time.
When trying to sign in to a remote teamwork file the connection can sometimes be lost midway through the download. This means that you might have downloaded 699Mb of a 700Mb file, the connection goes down and you have to restart the ENTIRE download. this can take hours!
There is a work around using the Travel pack, but it takes longer and requires someone on the BIM server side to save and upload the travel pack.