What's the noun for fanlike? Here's the word you're looking for.
fan
A hand-held device consisting of concertinaed material, or slats of material, gathered together at one end, that may be opened out into the shape of a sector of a circle and waved back and forth in order to move air towards oneself and cool oneself.
An electrical or mechanical device for moving air, used for cooling people, machinery, etc.
An instrument for winnowinggrain, by moving which the grain is tossed and agitated, and the chaff is separated and blown away.
A small vane or sail, used to keep the large sails of a smock windmill always in the direction of the wind.
(mathematics) A section of a tree having a finite number of branches
“If you're an ordinarily enthusiastic fan, you may see it or you may not. If your fannishness is of the deckle-edged, double-breasted, inner-tube, twin-cylinder variety, you're sure to know it.”
“They were bystanders, fanners of flames, perhaps, but empty-handed, palms held upwards for inspection.”
“Given the ethnic tensions in the area, however, my outsider status and association with a North American farm manager helped provide access to both Kikuyu and Meru fanners.”
“Nevertheless, by the middle of the 20th century, black fanners and residents of small towns had a healthy supply of firearms.”