Supports Conservative, character-building stuff! (9)

I believe the answer is:

backstory

I'm a little stuck... Click here to teach me more about this clue!

'character-building stuff' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'supports conservative' is the wordplay.
'supports' becomes 'backs' (backing is a kind of supporting).
'conservative' becomes 'tory' (informal term for a Conservative Party member).
'backs'+'tory'='BACKSTORY'

Can you help me to learn more?

I've seen this clue in The Independent.

Want a hint initially instead of a full solution? Install my app