In broadcasting, Dora may be out of line (5)
I believe the answer is:
radio
'in broadcasting' is the definition.
'radio' can be an answer for 'broadcasting' (radio is a kind of broadcasting). I am unsure of the 'in' bit.
'dora may be out of line' is the wordplay.
'may be' is an anagram indicator.
'out' means one lot of letters goes inside another.
'of line' becomes 'i' (I am not sure about this - if you are sure you should believe this answer much more).
'dora' is an anagram of 'rado'.
'rado' going around 'i' is 'RADIO'.
Can you help me to learn more?
(Other definitions for radio that I've seen before include "Part of the broadcasting industry" , "send a message" , "Broadcaster" , "Electronic receiver" , "means of communication" .)