You do not need to print your UK eTA because it is electronically linked to your passport.
What You Need to Know
Airline staff and UK border officials will verify your eTA status by scanning your passport. There is no separate physical document issued for the eTA. While a printed copy is not required, some travelers choose to keep their eTA reference number handy or print their approval email in case it is requested.
Our Recommendation
Carry your passport used for the eTA application and keep a digital or printed copy of your eTA approval number as a backup.
A Quick Tip
Save a copy of your eTA confirmation in your email or on your mobile device, and consider emailing it to yourself for easy access during travel.