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I don't think the problem is in my theme.
I've located the problem in the theme assets/css/old.css. As soon as I override this css file in my theme smileys gets destroyed. I even tried to delete all other files from my theme and just leave this old.css (read: unchanged copy from joomsocial template) and the problem is still there. And vice-versa, if I delete old.css from my theme the smileys are working.