Humorous flattery on Facebook with strangers of opposite sex while being married?

Does one become insecure if he has feels weird seeing his wife flattering humorously with strangers of opposite sex on Facebook? I have talked to her and she has brushed these feelings of mine aside in a funny way but I'm still confused. I can't bring myself to do the same on facebookr although she would have no objection to it. Does not such a free "mingling" online with strangers lead to some unnecessary issues later in a lifetime? What possible scenarios am I looking at? I can brush this gut feeling of mine aside in a funny way too but in my life-long experience, I've always found this gut feeling helping me stay safe. What's your take on it?