Have you done a search of the IMAP logs, under the user's e-mail address? (make certain they are set to detailed.)
If so, what do those logs tell you?
You can also try to delete the user's account from the DEVICE to see if the resync churning stops. If not, they may have additional devices running IMAP on the account - not at all uncommon.
If deleting the user's account from the device stops the churning, they try rebuilding the account on the device, and see if that helps.
Failing that, open a ticket with SmarterMail.
Bruce Barnes
ChicagoNetTech Inc
brucecnt@comcast.net
Phonr: (773) 491-9019
Phone: (224) 444-0169
E-Mail and DNS Security Specialist
Network Security Specialist
Customer Service Portal: https://portal.chicagonettech.com
Website: https://www.ChicagoNetTech.com
Security Blog: http://networkbastion.blogspot.com/
Web and E-Mail Hosting, E-Mail Security and Consulting