Anyone had an issue with Gmail Integration with Inbox constantly trying to update contact records?

Hoping someone has experienced this issue as well. Currently we have some contact records being updated hundreds of times, all at the same time of morning (6:00AM). Thankfully we have a rule that is not allowing the fields to be updated, but our contact history on some contacts has now 1000's on entries. 

After doing some poking around, I turned off my Gmail Integration with Inbox, and voila, my user stopped trying to update records, but in saying that, turning it off completely is not really the solution to our problem as our Sales team use this functionality. 

Has anyone worked with the Gmail Integration in the past and know if there is a global setting that can fix this issue? 

Any ideas would be really appreciated :) 

Thanks! Rhiannon