Assigning the job or, first time, requesting (7)
I believe the answer is:
tasking
'assigning the job' is the definition.
'tasking' can be an answer for 'assigning' (tasking is a kind of assigning). I am not sure about the 'the job' bit.
'first time requesting' is the wordplay.
'first time' becomes 't' (1st letter of 'time').
'requesting' becomes 'asking' ('ask' can be a synonym of 'request').
't'+'asking'='TASKING'
'or' acts as a link.
Can you help me to learn more?
(Other definitions for tasking that I've seen before include "piecework" , "Making great demands" .)