IPL is not designed to tighten skin on the face, although it has many other benefits to improve the tone and texture of the skin. There are several treatments available that can non-surgically tighten the skin. Ask your board-certified dermatologist which treatment is right for you!
IPL or BBL (intense pulse light or broad band light) is particularly good for treating redness and flushing, as well as brown spots (lentigo/lentigines), and it does seem to improve the overall texture and tone of the skin so you may get some modest tightening under the eyes as well.