Spin doctor's last to eat sloppily (6)

I believe the answer is:

rotate

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'spin' is the definition.
(thesaurus)

'doctor's last to eat sloppily' is the wordplay.
'doctor' becomes 'ro' (I can't explain this - if you can you should give a lot more credence to this answer).
'last' becomes 't' (I've seen this in other clues).
'sloppily' indicates an anagram (I've seen this in other clues).
'eat' anagrammed gives 'ate'.
'ro'+'t'+'ate'='ROTATE'

Can you help me to learn more?

(Other definitions for rotate that I've seen before include "roll" , "Spin as on axle" , "Turn around an axle, swivel" , "Go around" , "Revolve" .)

I've seen this clue in The Telegraph.

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