Gel Pen Logotype I - Kitklik: Kitten Clicker

I'm experimenting with a handwritten logotype for the indie game I'm developing Kitklik: Kitten Clicker. I wrote this with gel and brush pens and played with it in Adobe Photoshop and Illustrator.
I realized that usually people that come to me for "a website" usually mean that they need branding AND a website because what am I gonna put on their website other than their company's brand? Then I thought about what I would make if someone really, truly did mean "make me any website" and I realized I would make some type of dumb clicker called kitten clicker or something. Then I realized that I should probably make that game so I am. So far most of the interface I've thought out is to have a "send a kitten to your dad" button. Not sure about platform but probably iOS/Apple Watch or html 5.