Sarah who gave heart to Absalom (3)

I believe the answer is:

sal

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'sarah who' is the definition.
'Sal' can be an answer for 'sarah' (Sally is a common pet form of Sarah). I am not sure about the rest of the definition.

'heart to absalom' is the wordplay.
'heart' says to take the centre.
The middle letters of 'absalom' are 'SAL'.

'gave' is the link.

Can you help me to learn more?

(Other definitions for sal that I've seen before include "- - volatile" , "Sarah (dim.)" , "girl?" .)

I've seen this clue in the Evening Standard.

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