Partial abdominoplasty is referred to as partial tummy tuck or mini tummy tuck. This is a surgery people consider after childbirth or having lost a good amount of weight. It is not a weight reduction procedure, it merely takes care of non elastic skin and fat that is left over resulting from weight loss or childbirth.
Such surgical procedures should never be taken lightly and advisable to have this costly surgical procedure well researched before taking a firm decision. All the information you need including how much it will cost is available on several websites maintained by clinics that undertake and specialize in cosmetic surgery.
You can read through the entire description and gather all the information you need. Remember that prices quoted may differ and will depend on individual need. Consider how long the recovery process will take you and if you can afford to take the time off work. The surgeon will tell you how long to take off. Be clear why you have decided to have this partial tummy tuck and what you want achieved from the procedure. It works best for tightening up after pregnancy or weight loss.