Even ends heart's requests for more (7)

I believe the answer is:

encores

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'requests for more' is the definition.
'encores' can be an answer for 'requests' (encoring is a kind of requesting). I'm not sure about the 'for more' bit.

'even ends heart's' is the wordplay.
'ends' suggests removing the centre.
'heart's' becomes 'cores' ('core' can be a synonym of 'heart').
'even' with its centre taken out is 'en'.
'en'+'cores'='ENCORES'

Can you help me to learn more?

(Another definition for encores that I've seen is " Replays".)

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

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