Dog collars on rectors getting itchy, originally (5)

I believe the answer is:

corgi

'dog' is the definition.
(I know that corgi is a type of dog)

'collars on rectors getting itchy originally' is the wordplay.
'originally' says to take the initial letters.
The first letters of 'collars on rectors getting itchy' is 'CORGI'.

(Other definitions for corgi that I've seen before include "Dog popular with British royals" , "Welsh breen of dog" , "HM's favourite dog" , "found in the kennels" , "Cardigan or Pembroke dog" .)

I've seen this clue in The Times.

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