Why would my belly button leak clear odorless liquid? it come back not even a minute later after drying my belly button out completely?

This could be from an inflammation of the inside . sometimes there is a condition called a Urachal sinus (Which is normally disappears at birth. So if it persists you moght need to see a urologist or surgeon.

Depending on the amount of fluid leaking from your belly button, it could be something serious going on inside your belly. You should go see your PCP and have a complete physical to check and find out the cause for this fluid leak. Is your belly distended? There might be a fluid build up inside, so you should get examined ASAP.