Is there a lot of swelling involved with cheek implants?

There will be some considerable swelling associated with the trauma to the tissues, especially if there were screws involved.  Bone trauma may hurt a little more than just tissue trauma so take this into account when you decide on the technique.  You may feel sensations of warmth or coldness regardless if screws are used.  Your mouth may be sore from the intra-oral placement and you may need to stay on a soft foods, and liquid diet because of it  -- although, this is hardly enough pain to dissuade you from making an "incision decision."  Be advised that you will look like a chipmunk for a while and that the chiseled definition will not be apparent for a few months.  Please go into this surgery well-informed because many re-operations or removals are due to patients not being able to handle the swelling.