It takes cold skin to lecture (5)
I believe the answer is:
chide
'lecture' is the definition.
(I've seen this before)
'it takes cold skin' is the wordplay.
'it' becomes 'che' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'takes' is an insertion indicator.
'cold' becomes 'iced' (I've seen this before).
'skin' means to remove the middle letters.
'iced' with its centre removed is 'id'.
'che' going around 'id' is 'CHIDE'.
'to' acts as a link.
(Other definitions for chide that I've seen before include "Rebuke, scold" , "Admonish" , "Censure, berate" , "Seeing scold" , "Reprove" .)