“Paw” included in dictionary — or not? (7)

I believe the answer is:

omitted

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

'or not?' is the definition.
I can't tell whether this defines the answer.

'paw included in dictionary' is the wordplay.
'paw' becomes 'mitt' (synonyms).
'included in' indicates putting letters inside.
'dictionary' becomes 'OED' (Oxford English Dictionary).
'mitt' put into 'oed' is 'OMITTED'.

Can you help me to learn more?

(Other definitions for omitted that I've seen before include "Left out, probably forgot" , "Leave undone or leave out" , "Disregarded" , "Overlooked" , "Failed" .)

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.