Mysterious sync error with DTTG 3 and dropbox

This response is in lieu of anything more helpful, which is sorely lacking from my repertoire:

  • have you restarted the iOS device, and does the error persist?
  • have you installed DTTG 3.5.2, which was made available in the past few hours?
  • have you tried from another network?
  • do you have enough space available on Dropbox?

In addition: a similar error message was fixed in the past by running a service command; see here for details.