Something that has subconsciously bothered me for years:
`org-transpose-words' does its transposition using a blank syntax table,
rather than inheriting from text-mode-syntax-table, meaning we don't get
any of the default text-mode transposition behavior. The most immediate
problem is that apostrophes get "left behind" during transposition. Ie:

I can't| transpose this --> I can transpose|'t this

and not

I can't| transpose this --> I transpose can't| this

The fix would be as simple as the attached patch. I don't know if this
would break anything elsewhere, but I can't imagine it would...

Eric