Attempt working around Eve (9)
I believe the answer is:
endeavour
'attempt' is the definition.
(I know that endeavour is a more specific form of attempt)
'working around eve' is the wordplay.
'working' is an anagram indicator.
'around'+'eve'='aroundeve'
'aroundeve' with letters rearranged gives 'ENDEAVOUR'.
(Other definitions for endeavour that I've seen before include "Aim" , "Try - Cook's ship" , "Aspire; attempt" , "Try hard (to achieve)" , "Try - Captain Cook's vessel" .)