Initially concerned, the way dog eats (4)

I believe the answer is:

chow

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'dog eats' is the definition.
'chow' can be an answer for 'eats' (synonyms). I'm unsure of the 'dog' bit.

'initially concerned the way' is the wordplay.
'initially' indicates taking the first letters.
'the way' becomes 'how' (how something is done).
The first letter of 'concerned' is 'c'.
'c'+'how'='CHOW'

Can you help me to learn more?

(Other definitions for chow that I've seen before include "Grub" , "Barker" , "Long-haired Chinese dog or slangy food" , "Mixed < dog" , "breakfast?" .)

I've seen this clue in The Telegraph.

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