As a saint, he has a very good name (5)

I believe the answer is:

aidan

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'as a saint he' is the definition.
The definition suggests a singular noun which matches the answer.

'a very good name' is the wordplay.
'a very good' becomes 'AI' (resembles 'Ad', old-fashioned term for excellent).
'name' becomes 'dan' ().
'ai'+'dan'='AIDAN'

'has' is the link.

Can you help me to learn more?

(Other definitions for aidan that I've seen before include "Saint associated with Lindisfarne" , "Irish fellow" .)

I've seen this clue in the Evening Standard.

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