Some things you need to be CL organizer. - Decent understanding of spreadsheets and formatting. - The ability to write in English coherently. You'll be writing a lot. - Fair Judgement. - Free time. While a lot has been automated, you'll still need a lot of spare time, particularly at the beginning of each season.
I've heard that if you say "Next CL will have a 10th anniversary stream done by your truly" 3 times whilst looking into a spreadsheet you become the next clan league organiser.