It is unlikely that your skin would magically tighten several months following an abdominoplasty. Many patients have a degree of secondary skin laxity and this is more common in women who have had multiple pregnancies or multiple stretch marks. These are all indicative of loss of skin elasticity.
Having loose skin after liposuction is a risk of the procedure, especially if you have any loose skin to begin with or after having children. If you do have loose skin after the liposuction, it usually doesn't tighten up over time. You may require a tummy tuck to remove the loose skin. Liposuction can remove fat but doesn't address loose skin. Best of luck!
The ability of skin to "bounce back" after surgery is dependant upon a lot of things. Many people with liposuction, for example, have an immediate improvement that is dramatic. Some, however, require months to get the end result. A good preop exam can help your surgeon define whether you would be expected to have good skin contraction but the most important factor is always time. With a tummy tuck, there is very little skin tightening over time.
Yes, depending on the quality of abdominal wall skin elasticity, some degree of tightening of the abdominal wall skin over the underlying abdominal wall muscle framework can be expected. This process may continue during the first year after the procedure was performed. Best wishes.