Live on heroic expedition's legacy (7)

I believe the answer is:

bequest

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'legacy' is the definition.
(bequest is a kind of legacy)

'live on heroic expedition's' is the wordplay.
'live' becomes 'be' (synonyms).
'on' says to put letters next to each other.
'heroic expedition' becomes 'quest' (I've seen this in other clues. I am not sure about the 'heroic' bit.).
'be'+'quest'='BEQUEST'

Can you help me to learn more?

(Other definitions for bequest that I've seen before include "Gift left in will" , "Endowment, legacy" , "One left in will" , "Something gifted in a will" , "Gift by will of personal property" .)

I've seen this clue in The Times.

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