Is Susan having a baby? (5)
I believe the answer is:
issue
'a baby?' is the definition.
(in law, children of one's own)
'is susan' is the wordplay.
'susan' becomes 'sue' (short for Susan).
'is'+'sue'='ISSUE'
'having' is the link.
(Other definitions for issue that I've seen before include "Outcome - discharge" , "Emit" , "Publish, bring out" , "Children; put out" , "Question in dispute to be settled" .)