Eliminating a stage in making a suit (7,3)

I believe the answer is:

cutting out

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

This clue might be a double definition.

'eliminating a stage' is the first definition.
'cutting out' can be an answer for 'eliminating' (cutting out is a kind of eliminating). I'm not sure about the 'a stage' bit.

'making a suit' is the second definition.
'cutting out' can be an answer for 'making' (cutting out is a kind of making). I'm not certain of the 'a suit' bit.

'in' is the link.

Can you help me to learn more?

I've seen this clue in The Globe and Mail.

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.