Three fellows in line, each wanting last dance (3-3-3)

I believe the answer is:

cha-cha-cha

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'dance' is the definition.
(type of dance)

I don't understand how the remainder of the clue works.

(Other definitions for cha-cha-cha that I've seen before include "Latin American dance - 1-2-3 rhythm" , "Ballroom dance" , "A Latin American dance, very repetitive" , "Latin-American dance" , "Latin American dance, sounds trebled" .)

I've seen this clue in The Telegraph.

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