Great Khan who lost heart when the hinges broke (7)

I believe the answer is:

genghis

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'great khan' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'lost heart when the hinges broke' is the wordplay.
'lost heart when' becomes 'g' (I can't explain this - if you can you should give a lot more credence to this answer).
'broke' is an anagram indicator.
'hinges' anagrammed gives 'enghis'.
'g'+'enghis'='GENGHIS'

'who' acts as a link.

Can you help me to learn more?

(Another definition for genghis that I've seen is " - Khan, Mongol ruler".)

I've seen this clue in the Evening Standard.

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