Hi,
It was first reported in Messages Beta.
If the App was Off line on the Mac and conversation took place via an iPhone or iPad and then the Mac was turned On and Messages Started then the iPhone conversation would start to sync.
This is not instant and plays out like a speeded up chat.
Any subsequent iMessages in that conversation are sent by the servers immediately and get mixed up with the "historical" catch-up.
People are reporting that similar issues are still happening in the Messages up despite the version 7.0.1 update.
I have seen claims that if you shut down Messages and restart it then it will look to the Time Stamps and place things in order.
I cannot replicate this
iPhone end
Mac end.
On the 29th the iPhone got a Message reply repeated.
Some Items from the Mac never made it to the iPhone (it's my iPhone and it should be syncing things)
The Mac never showed the Tesco/Lettuce conversation.
I would use the old iChat Feedback page to report this.
Messages is iChat+ and the versions numbers are sequential
10:32 PM Saturday; December 22, 2012
Please, if posting Logs, do not post any Log info after the line "Binary Images for iChat"
iMac 2.5Ghz 5i 2011 (Mountain Lion 10.8.2)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
Couple of iPhones and an iPad
"Limit the Logs to the Bits above Binary Images." No, Seriously