Get to cover short business-like lecture (8)
I believe the answer is:
reproach
'lecture' is the definition.
(thesaurus)
'get to cover short business' is the wordplay.
'get to' becomes 'reach' ('reach' can be a synonym of 'get to').
'cover' is an insertion indicator.
'short business' becomes 'pro' (I can't justify this - if you can you should give a lot more credence to this answer).
'reach' going around 'pro' is 'REPROACH'.
'like' is the link.
Can you help me to learn more?
(Other definitions for reproach that I've seen before include "Chide" , "criticise" , "Express disapproval to (someone)" , "Berate" , "Scold(ing)" .)