I did consider trying 7.1 first, but decided to jump from 7.0 to 7.2 after doing a little research (and running 7.2 locally for a while with no issues).
What convinced me to make the jump was the fact that Kinsta has made 7.2 available to its customers - https://kinsta.com/blog/php-7-2/.
The one issue I’ve noticed is the error logs of sites using Jetpack contain this message:
"PHP message: PHP Warning: count(): Parameter must be an array or an object that implements Countable in /var/opt/wordpress/wp-includes/post-template.php on line 284"
Automattic and WordPress core are aware of the issue and it’ll no doubt be fixed soon. Other than that I’ve had no significant problems so far.