In ballet, a name for a half pace (5)

I believe the answer is:

dance

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'in ballet' is the definition.
'dance' can be an answer for 'ballet' (I've seen this in another clue). I'm not certain of the 'in' bit.

'a name for a half pace' is the wordplay.
'a name' becomes 'dan' ().
'for' means one lot of letters go next to another.
'a half' suggests halving the letters.
'pace' cut in half is 'ce'.
'dan'+'ce'='DANCE'

Can you help me to learn more?

(Other definitions for dance that I've seen before include "Flamenco, perhaps" , "social function" , "Eg, perform ballet" , "Fling" , "Eg, waltz, foxtrot" .)

I've seen this clue in the Evening Standard.

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