WordNet sense 1 (an excited state of agitation):

dither, fuss, pother, tizzy

WordNet sense 2 (the motion made by flapping up and down):

flutter, fluttering, flapping

WordNet sense 3 (a movable airfoil that is part of an aircraft wing; used to increase lift or drag):

flaps

WordNet sense 4 (move with a thrashing motion):

beat

WordNet sense 5 (move in a wavy pattern or with a rising and falling motion):

roll, undulate, wave