Obedient monkey with belt on collar (12)

I believe the answer is:

controllable

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

'obedient' is the definition.
Both the definition and answer are adjectives. Maybe there's an association between them I don't understand?

'monkey with belt on collar' is the wordplay.
'belt on collar' anagrams to 'CONTROLLABLE'.
However, I'm not clear how the anagram is indicated.

Can you help me to learn more?

(Another definition for controllable that I've seen is " Able to be managed".)

I've seen this clue in The Sunday Times and The Times.

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