mid-13c., wippen "flap violently," not in Old English, of uncertain origin, ultimately from Proto-Germanic *wipjan "to move back and forth" (source also of Danish vippe "to raise with a swipe," Middle Dutch, Dutch wippen "to swing," Old High German wipf "swing, impetus"), from PIE root *weip- "to turn, vacillate, tremble." "The senses of both [noun and verb] no doubt represent several independent adoptions or formations" [OED]. The cookery sense is from 1670s. Related: Whipped; whipping. Whip snake first recorded 1774, so called for its shape.
toothed cutting tool, Old English sagu, from Proto-Germanic *sago "a cutting tool" (source also of Old English seax "knife," Old Norse sög, Norwegian sag, Danish sav, Swedish såg, Middle Dutch saghe, Dutch zaag, Old High German saga, German Säge "saw"), from PIE root *sek- "to cut" (source also of Latin secare "to cut").
Others are reading
<a href="https://www.etymonline.com/word/whip-saw">Etymology of whip-saw by etymonline</a>
Harper, D. (n.d.). Etymology of whip-saw. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/whip-saw