I have a new vintage white plastic fan with a lacey look/mold to it, very pretty.  It folds within itself.  It is about 5 1/2" in length from top to lower handle x about 1 1/8" at it's widest point in the fan when folded.  When opened the widest part measures about 8" across.  It dates back to the 1960's - 1970's or so.

White Fan Plastic nos vintage item