Canine tooth one has right in the centre (5)
I believe the answer is:
corgi
'canine' is the definition.
(corgi is a kind of canine)
'tooth one has right in the centre' is the wordplay.
'tooth' becomes 'cog' (cog is a kind of tooth).
'one' becomes 'i' (Roman numeral).
'has' means one lot of letters go next to another.
'right' becomes 'r' (common abbreviation).
'in the centre' means one lot of letters goes inside another (some letters go in the middle of other letters).
'cog'+'i'='cogi'
'cogi' going around 'r' is 'CORGI'.
(Other definitions for corgi that I've seen before include "Little dog" , "Barker?" , "One of the Queen's dogs?" , "Royal pet" , "Cardigan or Pembroke dog" .)