Met me leaving and enquire about a job (4)
I believe the answer is:
task
'a job' is the definition.
(I know that job can be written as task)
'met me leaving and enquire' is the wordplay.
'leaving' is a deletion indicator.
'and' is a charade indicator (letters next to each other).
'enquire' becomes 'ask' (to enquire is to ask or question).
'met' with 'me' removed is 't'.
't'+'ask'='TASK'
'about' is the link.
(Other definitions for task that I've seen before include "Set piece of work" , "Give mission" , "Burden with work" , "something to do" , "Allocate work" .)