Separate dance numbers getting shocking treatment (10)

I believe the answer is:

disconnect

'separate' is the definition.
(disconnect can mean to separate or split up)

'dance numbers getting shocking treatment' is the wordplay.
'dance' becomes 'disco' (disco can mean a dance event).
'numbers' becomes 'NN' (two abbreviations for number).
'getting' means one lot of letters go next to another.
'shocking treatment' becomes 'ect' (electro-convulsive therapy).
'disco'+'nn'+'ect'='DISCONNECT'

(Another definition for disconnect that I've seen is " Uncouple".)

I've seen this clue in The Guardian.

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