There is couple of options to treat, or improve the under-eye bags.

Temporary solutions, like covering the puffy area  with frozen tea bags, cucumber slices, or the back of an ice-cold spoon. Preparation H can help deflate under-eye bags. “It helps tighten and smooth skin on a very temporary basis, but be certain to use only the cream form.

If you’re looking for a temporary fix that lasts a bit longer, the new injectable wrinkle fillers, such as Restylane or Juvederm, can help. The filler is injected just under the puffy area to even out  the look and remove the indentation caused by the puff. Adding laser treatment, or radiofrequency to the filler treatment, will tighten the skin, and improve the wrinkles. The overall effect is a younger looking eye. The result lasts about 8 or 9 months. This procedure is an outpatient procedure, takes about 20 minutes. The cost of procedure is around $1000.

For more permanent results that last for many years, surgery could be the option. This option vary  from inserting a tiny electronic probe directly into the “puff” to melt the fat, in younger people, to tiny tuck just inside or below the lower lash line and pull up the excess skin in older people. The eyelift is an outpatient procedure takes about an hour, requires only local anesthesia and light sedation, and takes about two weeks to heal. The cost of an eyelift can be high — $6,000 or more in some areas of the country.