The story
Onomatopoeic. Compare Middle English twengen (“to pinch, tweak”) (whence modern English twinge), from Old English twenġan (“to pinch, twinge”); Middle English twingen (“to afflict, torment, oppress”), from Old Norse þvinga (“to weigh down, oppress”); Old English twingan (“to force, press”).
Etymology from Wiktionary, CC BY-SA 4.0.