Synonyms for Twirl (same or very similar meaning)
WordNet sense 1 (a sharp bend in a line produced when a line having a loop is pulled tight):
kink, twistWordNet sense 2 (turn in a twisting or spinning motion):
swirl, twiddle, whirlWordNet sense 3 (cause to spin):
spin, birlWordNet sense 4 (the act of rotating rapidly):
twistingFrom the ODE community, based on WordNetadd/edit