I use a variety of methods (well, pre WFP that is) but until you get very adept indeed ignore using a squeegee, it's slower, and over the years I've time and motion studied it often (with a stop watch, no guess work!)
Generally speaking, using a sprayer to very lightly mist and buff dry is several seconds quicker, way quicker if you are a relative newbie.
with a solution of your choice (GG3/4 or unger liquid, ratio of about 100:1) Or buy a sprayer from Tesco, there own brand window cleaning spray is only about 84p.
Lightly mist the fan light (very lightly) and buff clean with your scrim, or preferably microfibre cloth.
Or when you get more skilful you can use a cut down squeegee.
Time wise though that will take you a lot longer than simply mist and buff until you get well experienced.
You can also use a damp scrim to clean and a dry microfibre to buff clean.
Regards.
Ian