As stated, tap your avatar as fast as you can when the alarm starts. For you to receive credit for being first, there must be at least one other user (not all bots) and the club MUST be successful. If the club fails and you are No. 1, it will not add to your count.
You can check your count by touching the clipboard with the sheep and scrolling down to the Community Record section--First Place is the the number of times you woke up first in a successful club.