cluetility 

The discovery of piece of information that enables you to figure out what happened.

No one doubts the cluetility of finding an incriminating email.

cluetility by Cynicool July 12, 2017

Cluelicity 

a state of being clueless; a complete absence of awareness of the world in which they exist; a pervasive condition rendering a creature clueless and incapable of any cognitive functions or responses to events transpiring in their sphere of existence.

The person driving in the middle lane of an interstate doing 50 miles per hour in a 70 zone suffers cluelicity.

Cluelicity by Birder Emeritus June 21, 2015

cutility 

A portmanteau of the words "cute" and "utility" that refers to the quantifiable adorableness of any given object, and that said adorableness' usefulness in eliciting response/curing cancer.

Tessa: Hey Adam, look at those four pug puppies fighting over that box of Peeps!

Adam: My goodness Tessa, I have never seen a spectacle with such high cutility in my life.

cutility by Adam Protextor April 5, 2008

Cutility 

Things that people in general and women in particular use to look cute. These include hello kitty t-shirts or those tea cup sized toy poodles.
Plural: Cutilities

The colored head bands are a must-have cutility this spring.

I need to go to a cutilities store to prep for my 16th birthday.

Cutility by Teeco July 29, 2012