Slip to accompany task (6)
I believe the answer is:
errand
'task' is the definition.
(I've seen this before)
'slip to accompany' is the wordplay.
'slip' becomes 'err' (synonyms).
'to accompany' becomes 'and' (I can't explain this - if you can you should believe this answer much more).
'err'+'and'='ERRAND'
Can you help me to learn more?
(Other definitions for errand that I've seen before include "Short trip for a message" , "Journey to deliver message etc" , "Chore" , "Short assignment" , "Native of a former German kingdom" .)