I went inside and snooped - lost no time (4)

I believe the answer is:

sped

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'lost no time' is the definition.
(I've seen this in another clue)

I cannot understand how the rest of the clue works.

(Other definitions for sped that I've seen before include "Made haste" , "Went fast" , "Rushed" , "Dashed" , "Moved quickly" .)

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