Great disappointment showing in Limousines Ltd (15)

I believe the answer is:

disillusionment

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

'great disappointment' is the definition.
'disillusionment' can be an answer for 'disappointment' (thesaurus). I'm unsure of the 'great' bit.

'in limousines ltd' is the wordplay.
'in limousines ltd' can be anagrammed to 'DISILLUSIONMENT'.
Though, I'm not sure how the anagram is indicated.

'showing' acts as a link.

Can you help me to learn more?

(Other definitions for disillusionment that I've seen before include "State of disenchantment" , "The blues" .)

I've seen this clue in the Sydney Morning Herald.

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