Children? That’s the problem (5)
I believe the answer is:
issue
I believe this is a double definition.
'children?' is the first definition.
(issue can mean someone's offspring)
'the problem' is the second definition.
(issue can mean a problem or difficulty)
'that's' acts as a link.
(Other definitions for issue that I've seen before include "Debate topic; flow out" , "Important topic for offspring" , "Supply" , "Children; important topic" , "Children; put out" .)