Fellow with short list of things to be done with a stub (3,3)
I believe the answer is:
fag end
'a stub' is the definition.
(thesaurus)
'fellow with short list of things to be done' is the wordplay.
'fellow with' becomes 'f' (I've seen this in other clues).
'short' means to remove the last letter.
'list of things to be done' becomes 'agenda' (I've seen this before).
'agenda' with its final letter removed is 'agend'.
'f'+'agend'='FAG-END'
'with' acts as a link.
(Other definitions for fag end that I've seen before include "Last piece" , "worthless piece" , "Remnant" , "Last and worst part" , "Last insignificant bit" .)