Crossword Genius

Price is both officer and saint (4)

Ross

I believe the answer is:

cost

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'price' is the definition.
(synonyms)

'both officer and saint' is the wordplay.
'both officer' becomes 'co' (Commanding Officer abbreviation. I am not sure about the 'both' bit.).
'and' is a charade indicator (letters next to each other).
'saint' becomes 'st' (abbreviation).
'co'+'st'='COST'

'is' is the link.

Can you help me to learn more?

(Other definitions for cost that I've seen before include "Be priced at" , "Outlay required to buy" , "Come to" , "Total spent for goods or services" , "Amount to pay" .)

I've seen this clue in the Evening Standard.
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