But, maybe this is just me, I'm not going to forfeit my good relationships with women (several single, attractive) just because my SO is getting jealous. If she doesn't trust me, then that needs to be addressed directly. And if she can't trust me, that's a bad sign for the relationship in the long-term.
If my coworkers start rumormongering because I go to lunch or coffee with a female colleague, they need to grow up. Men and women are quite capable of having professional, and personal, relationships that remain entirely platonic. And barring these sorts of professional relationships on the basis of gender means reducing the professional network of both people, which can result in long-term career setbacks. This is exactly the sort of thing that can hold women back in a male dominated field.
There's a lot at stake. A simple your word against theirs or miscommunication can land you in serious HR trouble. This issue is incredibly sensitive and very charged. Why risk it?
I have a good enough relationship that we can both express distrust for the friend, but that isn't something binding or obligatory to follow. If I find myself jealous, that is a problem I need to overcome and not take out on him and I expect him to do the same. I don't have reasons not to trust him, and if one doesn't trust their spouse, perhaps they should address that issue.
I'd not enter into a long-term relationship thinking this wasn't the case, honestly.
[0] https://xkcd.com/592/
EDIT: I should add a bit of context. I am self employed as a contractor, but my 'boss' at my biggest client - the one that pays the bills - is a woman who is close to my age. We are both married. I would be a little bit uncomfortable going to lunch or coffee one-on-one with her, not because I question her intentions but because I'd rather not be seen on what could be interpreted as a 'date' with someone other than my wife in my community.