In Rhode Island differ about origin of literary competition (7)

I believe the answer is:

rivalry

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'competition' is the definition.
(I know that competition can be written as rivalry)

'in rhode island differ about origin of literary' is the wordplay.
'in' indicates putting letters inside.
'rhode island' becomes 'RI' (US postal abbreviation).
'differ about' becomes 'vary' (varying is a kind of differing. I am not sure about the 'about' bit.).
'origin of' says to take the initial letters.
The first letter of 'literary' is 'l'.
'ri'+'vary'='rivary'
'rivary' going around 'l' is 'RIVALRY'.

Can you help me to learn more?

(Other definitions for rivalry that I've seen before include "Competition" , "Vendetta" .)

I've seen this clue in The Times.

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