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There's DavMail ( http://davmail.sourceforge.net/ ) - which you can use with Thunderbird or any other client.

What specific long delays or weird synchronization issues do you experience? I just bought the plugin but don't notice any yet with ~7000 mails. Did you find a good alternative? I read above that using DavMail as a proxy can also work.

How is OWA not working for you on FF? (Genuinely curious)

OWA has a known issue with Firefox on Linux where it incorrectly believes that Ctrl is pressed while typing an email. This results in frequent missed characters and spurious actions, including moving focus to the search bar, archiving messages, saving the current message as a draft and closing it, etc. This makes OWA extremely frustrating to use. Another issue with OWA is the unhelpful completions (which I've noted before on HN), which in my experience seem to be related to the spurious actions (more suggested completions = more spurious actions)

Finally, so this is what was happening.