Nope. I'm on a static business IP, with DNS all set up correctly. I've also got SPF records set up, but I don't think they get used, as I use my ISPs smarthost for relaying mail through.
I do get a lot of incoming spam though, but I think that's more to do with some of my email addresses being over 20 years old.
Not OP, but hosting my own mail as well (postfix, dovecot, spamassassin) for six seven now.
Had one issue with outgoing mails to Microsoft (hotmail I think) bouncing. The IP of my dedicated server had been blacklisted from before it was used by me, but I got them to remove it. No other issues I can think of.
I'm getting about 1-2 spam mails a month delivered to my inbox, usually french SEO spam. Not worth investigating.
I do get a lot of incoming spam though, but I think that's more to do with some of my email addresses being over 20 years old.