Models deem garbled letters to be mischievously intrusive (10)

I believe the answer is:

meddlesome

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

'intrusive' is the definition.
(similar in meaning)

'models deem garbled' is the wordplay.
'garbled' indicates anagramming the letters.
'models'+'deem'='modelsdeem'
'modelsdeem' is an anagram of 'MEDDLESOME'.

'letters to be mischievously' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for meddlesome that I've seen before include "Interfering" , "nosy?" .)

I've seen this clue in The Irish Times.

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