Yes, you can earn Cryptocurrency for using a browser. The browser BRAVE have a partnership with BASIC ATTENTION TOKEN(BAT) and they give away basic attention token worth 1 million.
What is brave??

Brave blocks ads on the website and loads website faster than other browsers.
Brave loads major news sites 2 to 8 times faster than Chrome and Safari on mobile, and nearly 2 times faster than Chrome on the desktop.
Brave browser comparison with other browser shown in the image below.

HOW I CAN GET THAT??
By referrals. For Each referral, you will basic attention token worth 5$.
To Get referral link you have to follow below steps.
1) Download brave browser from the following link:-
2) Sign up for the referral program from the link below:-
3) verify your ownership of youtube channel or website and get your referral link
4) share it with friends and family or with your followers.
5) There is a catch they have to use a brave browser for at least 1 month for being a successful referral.
I have friends that have used the browser and have been impressed by it. Thanks for the article.