There are dozens of stations out there using "Kicks" "Kix" and "Kixx" as their branding, almost every one of them with a Country format. It might have something to do with the fact that "kick" is a four letter word starting with K which fits the parameters for call letters west of the Mississippi. Plus you can play with different call letter spellings to make it look and sound like "kicks" as evidenced by the first two stickers. The station that actually has KICK as its calls is a Country station (natch) from Palmyra, Missouri. Sadly, I don't have a decal from them.
KHKX - Odessa, Texas circa 2001.
KYYX - Minot, North Dakota.
WKWS - Charleston, West Virginia. They are now known as "96.1 The Wolf," still with a Country format but with some Southern Rock mixed in.