Going without info that's urgent (7)
I believe the answer is:
exigent
'urgent' is the definition.
(I've seen this before)
'going without info' is the wordplay.
'going' becomes 'exit' (exit is a kind of going).
'without' is an insertion indicator ('without' can be similar in meaning to 'outside').
'info' becomes 'gen' (gen is a kind of info).
'exit' placed around 'gen' is 'EXIGENT'.
'that's' acts as a link.
(Other definitions for exigent that I've seen before include "Pressing and urgent" , "Pressing; demanding" , "Urgent and taxing" , "Demanding immediate attention" , "Urgent and exacting" .)