Case of free tuition (4)

I believe the answer is:

etui

'case' is the definition.
(case for needlework equipment)

'of free tuition' is the wordplay.
'of' says the answer is hidden in the clue.
'ETUI' is hidden within 'free tuition'.

(Other definitions for etui that I've seen before include "Ornamental bag for needles etc." , "Small needle case e" , "Small case for needles, cosmetics, etc" , "Case containing sharp objects" , "Ornamental ladies' bag for small articles" .)

I've seen this clue in The Telegraph.

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