Crossword Genius

Firm agreement about Frenchman’s make-up case (7)

Ross

I believe the answer is:

compact

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

'up case' is the definition.
'compact' can be an answer for 'case' (compact is a kind of case). I am unsure of the 'up' bit.

'firm agreement about frenchman's' is the wordplay.
'firm' becomes 'co' (a firm is a company).
'agreement' becomes 'pact' (pact is a kind of agreement).
'about' says to put letters next to each other.
'frenchman' becomes 'm' (abbreviation for Monsieur - like 'Mr').
'pact' after 'm' is 'mpact'.
'co'+'mpact'='COMPACT'

'make' is the link.

Can you help me to learn more?

(Other definitions for compact that I've seen before include "Condense" , "Tightly-knit, agreement" , "The powder-box is closely packed" , "Dense; powder case" , "Small and neat - agreement" .)

I've seen this clue in The Mirror.
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