Mum overcomes Jack in honourable, good golf game (3-5)

I believe the answer is:

mah-jongg

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

'good golf game' is the definition.
'mah jongg' can be an answer for 'game' (I've seen this before). I'm not sure about the 'good golf' bit.

'mum overcomes jack in honourable' is the wordplay.
'mum' becomes 'magg' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'overcomes' indicates putting letters inside.
'jack' becomes 'J' (playing card abbreviation).
'in' means one lot of letters goes inside another.
'honourable' becomes 'hon' (as in Rt Hon, Right Honourable).
'j' placed into 'hon' is 'hjon'.
'magg' enclosing 'hjon' is 'MAH-JONGG'.

Can you help me to learn more?

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.