Forward by Tuesday (4)
I believe the answer is:
pert
'forward' is the definition.
(thesaurus)
'by tuesday' is the wordplay.
'by' becomes 'per'.
'tuesday' becomes 't'.
'per'+'t'='PERT'
(Other definitions for pert that I've seen before include "Saucy and chipper" , "Saucy and impudent" , "Slightly insolent" , "Jaunty" , "Persian expert" .)