nuckles87 on 07 April 2015
Chiki is definitely not a word that refers to a style of anime.
The closest word to chiki, as Sundin has said, is chibi:
http://img1.wikia.nocookie.net/__cb20110118115939/fruitsbasket/images/d/dd/Bleach-chibi-chibi-8861572-351-500.jpg
Going by you mentioning Sword Art Online and Blue Exorcist...I guess you actually meant to say "moe" (mo-wei).I wouldn't quite call those moe, but they do have some of the style's attributes, so...
http://animebot.everyboty.net/pix/669.jpg
https://geekeirepodcast.files.wordpress.com/2015/03/87322_v0_460x.jpg
