Popular account brought back ancient language (4)

I believe the answer is:

inca

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

'ancient language' is the definition.
'inca' can be an answer for 'language' (I've seen this before). I am unsure of the 'ancient' bit.

'popular account brought back' is the wordplay.
'popular' becomes 'in' ('in' can mean trendy).
'account' becomes 'ac' (abbreviation).
'brought back' is a reversal indicator.
'ac' back-to-front is 'ca'.
'in'+'ca'='INCA'

Can you help me to learn more?

(Other definitions for inca that I've seen before include "Ancient Peruvian like Cain" , "Member of old Peruvian Indian race" , "Very old Peruvian (4)." , "Native Peruvian" , "Member of Andean people conquered by Spain" .)

I've seen this clue in The Times.

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