Husband has a fish for Abraham's concubine (5)

I believe the answer is:

hagar

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'abraham's concubine' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'husband has a fish' is the wordplay.
'husband' becomes 'h'.
'has' is a charade indicator (letters next to each other).
'fish' becomes 'gar' (type of gar).
'h'+'a'+'gar'='HAGAR'

'for' is the link.

Can you help me to learn more?

(Another definition for hagar that I've seen is " Ishmael's mother".)

I've seen this clue in the Sydney Morning Herald.

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