Using older versions of Outlook for Mac in business environments
Here is what I did and haven't had any problems for around a month. Originally my account was migrated from Office 2011. So I went into Outlook 15 and deleted my exchange account. I then readded it fresh and let it do a sync from scratch. Once I did that, I haven't had any sync issues.
As with everything else in this thread, YMMV.
I tried this with 15.3 and it didn't work but with 15.4 seems to be working. At least for 24 hours so far. We will see.