Nine in one enclosure seems quite a lot! (5)

I believe the answer is:

sixty

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'quite a lot' is the definition.
I can't judge whether this defines the answer.

'nine in one enclosure' is the wordplay.
'nine' becomes 'IX' (roman numeral).
'in' means one lot of letters goes inside another.
'one enclosure' becomes 'sty' (sty is a kind of enclosure).
'ix' inserted within 'sty' is 'SIXTY'.

'seems' acts as a link.

Can you help me to learn more?

(Other definitions for sixty that I've seen before include "Number" , "LX -- highest possible score with one dart" , "Threescore" , "As many as four rugby teams" , "Score three times" .)

I've seen this clue in the Evening Standard.

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