I have a plum tree in my front yard and I've come to dislike it. It creates a TON of fruit and it scatters all over my yard which makes mowing it a pain. I normally have to rake it all up before I even try to mow. It also attracts a lot of insects, squirrels, birds and mooching passer-bys who think it's okay to walk into my yard and help themselves. Though, I don't mind them doing it because that's less for me to have to rake up. I actually had a note in my mailbox a couple weeks ago from someone who said "I picked some plums from your tree" and they left a name/phone number. Thought that was pretty nice of them.
I normally pick from it twice and then I'm sick of them. I take them to work for coworkers, give to friends, etc. And after all of that, there are still tons of them left. Never seen a tree so small put out so much fruit. Previous owner planted it, otherwise, it wouldn't be there.