Crossword Genius

Separates as a result of princess's wild sprees (9)

Ross

I believe the answer is:

disperses

'separates' is the definition.
(dispersing is a kind of separating)

'princess's wild sprees' is the wordplay.
'princess's' becomes 'Di's' (Princess Diana).
'wild' indicates anagramming the letters.
'sprees' anagrammed gives 'perses'.
'dis'+'perses'='DISPERSES'

'as a result of' acts as a link.

(Other definitions for disperses that I've seen before include "Fades away" , "Distribute loosely, scatters" .)

I've seen this clue in The Independent.
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