1. Crip walk originated from the gang Crips. It is a ritual, not a dance, of the gang. It is used to either taunt their kills or the Bloods gang, their rival, or just as a normal ritual for gang reputation. For its use against the Bloods, Crips would often use the walk to write "Bloods" with one of their feet, then cross the name out as if to rid or kill them. Crip walking is more simple and less popular.
Note: You will notice Crips will wear blue, especially while Crip walking. This is because blue is the gang's color.
2. The Clown/Crown walk is more of a hip-hop dance styled version of the Crip walk. It is more mainstream and most, if not all, practioneers do not belong in the Crips. They take cwalking as more of a dance and do not implement much or any support for the gang. It is more established than Crip walking, incorporating new moves to the dance. It also incorporates more bounce and style.
A warning for cwalkers: If you cwalk, especially in California where the Bloods and Crips hang out, it is possible that you can get murdered by either gangs. The Crips will attack you if you're not a real Crip, the Bloods will just attack you for using their rival's walk.
Crippin to the fullest 'cause nigga buck slobs, buck all slobs
Nigga I'm a muthafuccin Crip straight slob killa
Showin these muthafuccin slobs no love" -Crips-Break-A-Slob-Down
A Crip Walk (cwalk) song.
I know you feelin the shit, shit is dead right
Get your bounce on, back that ass up
Bitch pass me the bottle, fill your glass up" - Xzibit