What happens during recovery of arthrocentesis of the jaw? what kinds of complications are there with this procedure?

No issues: Done by an experienced doctor there are virtually no risks or complications. No recovery time is needed.

Every surgical : Procedure carries a risk with it. In the case of arthrocentesis of a joint space significant complications are rare but can happen even with the most skilled surgeons. They are easily managed & can include; infection, increased pain, decreased range of motion, hemarthrosis, needle-associated complications, corticosteroid-induced complications. I utilize nsaids & immediate pt, with no down time.

Very safe: Although the procedure is very safe in the hands of an experienced oral & maxillofacial surgeon, complications can always occur. The procedure may not be successful, with the possibility of pain worse after surgery. Also infection, bleeding, facial nerve injury, swellilng, bite shift. Ask your surgeon this question.