Should I be worried after anchor lift with no implant? (photos)

I'm sorry to hear about the complication you have experienced; Although understandably distressing to patients, these types of incision line (wound) healing problems tend to heal over the course of several weeks. Sometimes, the area may look worse before it looks better. Most often, even larger open wounds have healed by the time a patient reached the two months post op mark.
These wounds go on to heal through a process of contraction where the tissues heal from the sides towards the center of the wound; occasionally, removal of unhealthy tissue (debridement) and/or removal of exposed sutures, may expedite the healing process. Close followup with your plastic surgeon will be important; treatment regimens will vary from one practice to another.  Sometimes removal of a exposed suture and/or removal of any unhealthy tissue will expedite healing.  Also important to concentrate on a healthy diet, including good protein source.
 
Best wishes; despite the incision line healing problem it is most likely that you will be pleased with the longer-term outcome of the procedure. As you know, longer-term scar revision surgery may be very helpful.

I am so very sorry you are going through this. You will heal. In about six months after you are healed, your surgeon can revise the scars to make them smaller and tighten any loose skin. Once the scars are revised, there may be no extra loose skin. It may take a few procedures, but most, if not all, could be done in the office under local anesthesia. Keep following your surgeon's instructions and follow up with her frequently.

Dear scrappapod,
This type of wound can occur after breast lift. It is usually caused by poor blood flow and increased tension on incision line. I would suggest you to consult your plastic surgeon, follow your surgeon's instructions and keep your wound clean and covered. It can take few weeks or months for wound to fully heal. 
Daniel Barrett, MD
Certified, American Board of Plastic Surgery
Member, American Society of Plastic Surgery
Member, American Society of Aesthetic Plastic Surgery