The writer's brought in young man with a Biblical name (5)
I believe the answer is:
simon
'a biblical name' is the definition.
The definition suggests a singular noun which matches the answer.
'the writer's brought in young man' is the wordplay.
'the writer's' becomes 'I'm' (both could mean 'the crossword setter is').
'brought in' indicates putting letters inside.
'young man' becomes 'son' (male child).
'im' put inside 'son' is 'SIMON'.
'with' is the link.
Can you help me to learn more?
(Other definitions for simon that I've seen before include "Harris and Coveney" , "he says it's a game" , "Fellow" , "One of Christ's apostles" , "A simple character in nursery rhyme" .)