This is an excellent question -- you ask about one of the rarest complications of liposuction (blood clots) and one of the more common ones (seroma), according to the literature. What does that mean? I think it varies from individual to individual, but I have personally never seen a seroma in my liposuction practice in Santa Barbara. I usually encourage my patients to wear a conforming compression garment for 3-4 weeks following the liposuction surgery, and i do not perform large volume liposuction of over 5 liters in my office.
This leads to discussion of the other, more dreaded complication -- blood clots and pulmonary em bolus (PE) where the blood clot travels to the lung. I have never seen this complication from surgery in my center either, and this is a rare event following safe amounts of liposuction alone. It is more commonly seen with large volumes of liposuction and combining liposuction with other procedures, particularly abdominoplasty.
I would not fear the complications that you ask about if you are seeking liposuction. I would recommend, however, that you see a real plastic surgeon who is certified by the American Board Of Plastic Surgery, and who you feel will do a safe, conservative operation. Don't be fooled by the multitudes of non-plastic surgeons who do liposuction in their office -- you want to be in a safe environment with a well trained professional, and your risks of problems should be quite low.