Brenteve,
The HKCAD performance pledge is 3.5 working days for processing. It would not be the CAD holding things up.
What exactly did you provide the company, and what CAD form numbers did you fill in ?
You will need to have submitted CAD forms DCA 218, DCA 605, DCA 530 and photos. Provide them with the last 6 months of your logbook, copy of your licence, passport copy, FAA licence, FAA medical, FCC Radio Licence, FAA written results.
The type rating you have in the US, are any of them on the HKG register ?
Have a look at CAD 54 online, it tell you everything about the process.