The best replacement for swirl is pinch.

The best alternatives to swirl are rated as following:
★★★★★  pinch
★★★  bald spot
★★★  thinning
★  twirl
★  dole whip

Your alternative for swirl is not listed? Suggest!
Speaking about swirl, one probably shouldn't forget about pencil logo.

Other search terms related to swirl and their ratings are:
★★★★★ pencil logo
★★★★ i logo
★★★★ white circle icomania
★★ down
★★ h logo
You have in mind a companion for swirl and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of swirl in all years. Click on graph for more.
swirl
pinch
bald spot