By depriving an ex-swimmer of sleep (3)
I believe the answer is:
per
'by' is the definition.
(thesaurus)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for per that I've seen before include "According to" , "Preposition indicating by means of" , "Preposition meaning for each" , "For each or every" .)