( BrE , informal ) people say chance would be a fine thing to show that they would like to do or have the thing that sb has mentioned, but that they do not think that it is very likely
CHANCE WOULD BE A FINE THING
Meaning of CHANCE WOULD BE A FINE THING in English
Oxford Advanced Learner's English Dictionary. Оксфордский английский словарь для изучающик язык на продвинутом уровне. 2005