I has buccal fat liposuction about 2 weeks ago. Its still swollen.

It is common to have persistent swelling for some time after buccal fat removal.  It is variable in its duration and among people.  I will often prescribe a short course of steroids after buccal fat removal to help minimize the swelling.  It is important that you seek the advice of a surgeon who is certified by the American Board of Plastic Surgery and who has extensive experience with buccal fat reduction surgery.  I wish you the best! Dr. Gabbay.

Buccal fat removal is a plastic surgery procedure that is associated with minimal downtime, Cheek swelling is usually mild and last a couple of days in most patients. However, in about 10% of the patents the swelling is significant and could last days to weeks. This prolonged swelling without redness or increased temperature of the cheeks could be normal. 
Patients with prolonged swelling post buccal fat removal should follow the recommendation of their surgeon. 

Yes, this can be typical. There will be some swelling present in the face after the surgery. The swelling is typically moderate and will slowly resolve over a few weeks.
I hope this helps!

Great question.  Its not uncommon to see swelling fluctuate for a few weeks after having the procedure you described. Reason being that the buccal space is, by definition, a potential space where a lot of the lymphatic drainage of the face converges prior to going on to the neck.  It's not uncommon in the healing process to see fluctuating swelling happen as the body heals.  The best thing to do at this time is keep your head elevated and let gravity naturally help the lymphatic drainage make its way down.  Another option is a lymphatic massage.  Again you would have to clear that with your operating surgeon as some people do not want any manipulation in the post operative period.  As far as the dimpling is concerned, dimples are formed by the natural attachment of the muscles associated with smiling and the corners of the mouth/skin.  buccal fat pad reduction can help accentuate this as it may have been masking the natural attachments of your smiling muscles. Congratulations on your procedure! Now its just a matter of letting things heal.  Best of luck!