Are there likely to be any issues having a master running Percona 5.5.62 with a slave running Percona 5.5.22?
There are some resources that might help with this (they are not about your versions, but they have important/useful info). If after reading you have further questions, don’t hesitate to come back and ask. I am sure you’re already aware that 5.5 is getting pretty old now and don’t need me nudging on that! 
[URL]https://www.percona.com/blog/2018/10/01/how-to-fix-mysql-replication-after-an-incompatible-ddl-command/[/URL]
[URL]https://www.percona.com/blog/2018/08/07/replicating-mysql-8-0-mysql-5-7/[/URL]
[URL]https://www.percona.com/blog/2017/02/07/overview-of-different-mysql-replication-solutions/[/URL]
Just a nice general overview on running multiple versions of MySQL on the same server: [URL]https://www.percona.com/blog/2014/08/26/mysqld_multi-how-to-run-multiple-instances-of-mysql/[/URL]
Take a look at those and see if they help any? There’s also a free (for an email address) recorded webinar on troubleshooting replication you might find useful [URL]Technical Presentations from Percona