Crossword Genius

Domesticated animal possibly all over its master (5)

Ross

I believe the answer is:

llama

I'm a little stuck... Click here to teach me more about this clue!

'domesticated animal' is the definition.

'all over its master' is the wordplay.
I cannot quite understand how this works, but
an anagram of 'all' is 'lla' which is present in the answer.
'master' could be 'ma' (Master of Arts) and 'ma' is located in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

'possibly' acts as a link.

Can you help me to learn more?

(Other definitions for llama that I've seen before include "Peruvian transportation" , "Andean 'camel'" , "Domesticated South American beast" , "One bearing burden" , "As bearer of burdens" .)

I've seen this clue in the Evening Standard.
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